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Book
Theory of group representations
Authors: --- --- ---
ISBN: 3540906029 0387906029 9780387906027 9783540906025 Year: 1982 Volume: 246 Publisher: Berlin Heidelberg New York Springer


Book
Correspondances de Howe sur un corps p-adique
Authors: --- ---
ISBN: 3540186999 0387186999 3540481028 9783540186991 Year: 1987 Volume: 1291 Publisher: Berlin New York Paris Tokyo Springer


Book
Bose algebras : the complex and real wave representations
Author:
ISBN: 3540540415 354047367X 9783540540410 Year: 1991 Volume: 1472 Publisher: Berlin New York Tokyo Springer

Harmonic analysis and representations of semisimple lie groups : lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and harmonic Analysis, held at Liège, Belgium, September 5-17, 1977
Authors: --- ---
ISBN: 9027710422 9400989636 940098961X 9789027710420 Year: 1980 Volume: 5 Publisher: Dordrecht Boston London Reidel

Symmetries and Laplacians
Author:
ISBN: 0444886125 9780444886125 9786611783112 1281783110 0080872859 9780080872858 9781281783110 6611783113 Year: 1992 Volume: 174 Publisher: Amsterdam New York North-Holland

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Abstract

Designed as an introduction to harmonic analysis and group representations,this book covers a wide range of topics rather than delving deeply into anyparticular one. In the words of H. Weyl ...it is primarily meant forthe humble, who want to learn as new the things set forth therein, rather thanfor the proud and learned who are already familiar with the subject and merelylook for quick and exact information.... The main objective is tointroduce the reader to concepts, ideas, results and techniques that evolvearound symmetry-groups, representations

Factorizable sheaves and quantum groups
Authors: --- ---
ISBN: 3540646191 3540692312 9783540646198 Year: 1998 Volume: 1691 Publisher: New York Springer

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The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. As an application, the bundles of conformal blocks over the moduli spaces of curves are studied. The book is intended for specialists in group representations and algebraic geometry.

Keywords

Category theory. Homological algebra --- Quantum groups --- Representations of groups --- Sheaf theory --- Mathematical physics --- Mathematical Theory --- Applied Physics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Bundeltheorie --- Cohomology [Sheaf ] --- Faisceaux [Théorie des ] --- Fysica [Mathematische ] --- Fysica [Wiskundige ] --- Groupes des quantiques --- Mathematische fysica --- Physical mathematics --- Physics -- Mathematics --- Physics [Mathematical ] --- Physique -- Mathématiques --- Physique -- Méthodes mathématiques --- Physique mathématique --- Physique théorique --- Quanta [Groupes des ] --- Quantumgroepen --- Representation des groupes --- Sheaf cohomology --- Sheaves (Algebraic topology) --- Sheaves [Theory of ] --- Théorie des faisceaux --- Vertegenwoordiging van groepen --- Wiskundige fysica --- Algebraic geometry. --- Differential geometry. --- Topology. --- Nonassociative rings. --- Rings (Algebra). --- Algebraic topology. --- Quantum physics. --- Algebraic Geometry. --- Differential Geometry. --- Non-associative Rings and Algebras. --- Algebraic Topology. --- Quantum Physics. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Topology --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Differential geometry --- Algebraic geometry --- Quantum groups. --- Representations of groups. --- Sheaf theory. --- Cohomology, Sheaf --- Sheaves, Theory of --- Algebraic topology --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Enveloping algebras, Quantized --- Function algebras, Quantized --- Groups, Quantum --- Quantized enveloping algebras --- Quantized function algebras --- Quantum algebras --- Quantum field theory

Simple algebras, base change, and the advanced theory of the trace formula
Authors: ---
ISBN: 0691085188 069108517X 1400882400 Year: 1989 Volume: vol 120 Publisher: Princeton University Press

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A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorphic forms on two groups (or the local factors of the "automorphic representations" generated by them). In the few instances where such relations have been probed, they have led to deep arithmetic consequences. This book studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL(n,E) and GL(n,F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL(n).) The problem is attacked and solved by means of the trace formula. The book relies on deep and technical results obtained by several authors during the last twenty years. It could not serve as an introduction to them, but, by giving complete references to the published literature, the authors have made the work useful to a reader who does not know all the aspects of the theory of automorphic forms.

Keywords

511.33 --- Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- 511.33 Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Automorfe vormen --- Automorphic forms --- Formes automorphes --- Representation des groupes --- Representations of groups --- Trace formulas --- Vertegenwoordiging van groepen --- Formulas, Trace --- Discontinuous groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Automorphic functions --- Forms (Mathematics) --- Analytical and multiplicative number theory. Asymptotics. Sieves etc --- Representations of groups. --- Trace formulas. --- Automorphic forms. --- 0E. --- Addition. --- Admissible representation. --- Algebraic group. --- Algebraic number field. --- Approximation. --- Archimedean property. --- Automorphic form. --- Automorphism. --- Base change. --- Big O notation. --- Binomial coefficient. --- Canonical map. --- Cartan subalgebra. --- Cartan subgroup. --- Central simple algebra. --- Characteristic polynomial. --- Closure (mathematics). --- Combination. --- Computation. --- Conjecture. --- Conjugacy class. --- Connected component (graph theory). --- Continuous function. --- Contradiction. --- Corollary. --- Counting. --- Coxeter element. --- Cusp form. --- Cyclic permutation. --- Dense set. --- Density theorem. --- Determinant. --- Diagram (category theory). --- Discrete series representation. --- Discrete spectrum. --- Division algebra. --- Eigenvalues and eigenvectors. --- Eisenstein series. --- Exact sequence. --- Existential quantification. --- Field extension. --- Finite group. --- Finite set. --- Fourier transform. --- Functor. --- Fundamental lemma (Langlands program). --- Galois extension. --- Galois group. --- Global field. --- Grothendieck group. --- Group representation. --- Haar measure. --- Harmonic analysis. --- Hecke algebra. --- Hilbert's Theorem 90. --- Identity component. --- Induced representation. --- Infinite product. --- Infinitesimal character. --- Invariant measure. --- Irreducibility (mathematics). --- Irreducible representation. --- L-function. --- Langlands classification. --- Laurent series. --- Lie algebra. --- Lie group. --- Linear algebraic group. --- Local field. --- Mathematical induction. --- Maximal compact subgroup. --- Multiplicative group. --- Nilpotent group. --- Orbital integral. --- P-adic number. --- Paley–Wiener theorem. --- Parameter. --- Parametrization. --- Permutation. --- Poisson summation formula. --- Real number. --- Reciprocal lattice. --- Reductive group. --- Root of unity. --- Scientific notation. --- Semidirect product. --- Special case. --- Spherical harmonics. --- Subgroup. --- Subset. --- Summation. --- Support (mathematics). --- Tensor product. --- Theorem. --- Trace formula. --- Unitary representation. --- Weil group. --- Weyl group. --- Zero of a function.

Textus ad patres ecclesiae spectantes.
Authors: --- --- --- --- --- et al.
ISBN: 0720461502 0444854304 0720461510 0720461529 0720461537 0720461545 0720461561 044470454X 0444822682 9789004234680 0444897437 0444829741 044470132X 0444861890 0444861904 0444861912 0444828346 0444821503 0444519416 0720461553 0444886354 072046157X 0444853839 9789004181731 9789004328891 0720461588 044486878X 0444701338 0444887474 0444897429 9780444531346 9789004253001 9789004313583 0444509429 0444518355 9789004202153 0444502815 0444514600 9789004203389 0444514619 9789004175648 9789004261563 0444823956 9789004359741 0444862692 0444866051 0444823859 0444510559 9789004233713 9789004274655 9789004282513 9789004283275 0444516387 9789004274662 9004359745 9789004359895 9780444519412 9789004283176 9004328890 9789004328907 9004313583 9004359893 9780720461558 9780444704542 9789004375581 9004375589 9789004395244 9789004375611 9789004242043 9789004313590 9789004243125 9004203389 9789004233737 9004395245 9789004402850 9789004402874 9780444516381 9004402853 9004216596 1283714299 9004283277 9004282513 9780720461527 9780720461534 9780720461541 9780444861917 9780720461565 9780720461572 9780444866059 9780444862693 9780444701329 9780444886354 9780444887474 9780444897435 9780444829740 9780444897428 9780444822680 9780444823953 9780444823854 9780444828347 9780444514608 9004175644 9780444502810 9780444514615 9004261567 9780444510556 9004274669 9789004506763 9004506764 9789004375604 9004375600 9004181733 Year: 2019 Volume: 9/9 Publisher: Leiden : Brill,

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Abstract

"This volume in the ASD series (VIII, 1) publishes texts by Erasmus related to the Fathers of the Church. Erasmus himself considered these among his major contributions to Christianity and the Church. He edited many Fathers and wrote Vitae of three theologians: John Chrysostom, Origen and - his most important one - Jerome. He provides portraits of the theologians and his views on them, but also a kind of self-portrait. He even forged a text himself: 'Cyprian's De duplici martyrio'. His many editions of the Church Fathers and other theologians contain prefaces which provide us with information about the theologians, and with remarks on Erasmus' views on them. Thus, we get a clearer understanding of Erasmus and his theology." -- Information provided by publisher

Keywords

Humanities. --- History. --- Regional and national history. --- European history. --- Erasmus, Desiderius, --- Erasmus Roterodamus, Desiderius --- Erasmus --- Erasmus, Desiderius --- Érasme --- Desiderius Erasmus --- Erasm, Dezideriĭ --- Erasme, Désiré --- Erasmo, --- Erasmo, Desidério --- Erasmus, --- Ėrazm, --- Erazm, --- Roterodamus, Erasmus --- Rotterdamskiĭ, Ėrazm --- Rotterdamský, Erasmus Desiderius --- Роттердамский, Эразм --- Эразм, --- Ерасм, Дезидерий --- Representations of groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- 223.5 --- Prediker. Qohelet (Ecclesiastes) --- Bible. --- Ba-yon Tipan --- Bagong Tipan --- Jaji ma Hungi --- Kainē Diathēkē --- New Testament --- Nouveau Testament --- Novo Testamento --- Novum Testamentum --- Novyĭ Zavet --- Novyĭ Zavi︠e︡t Gospoda nashego Īisusa Khrista --- Novyĭ Zavit --- Nuevo Testamento --- Nuovo Testamento --- Nye Testamente --- Perjanjian Baru --- Dhamma sacʻ kyamʻʺ --- Injīl --- Criticism, interpretation, etc. --- History --- Fathers of the church --- Church fathers --- Patristics --- Philosophy, Patristic --- Christians --- Cyprian, --- 873.4 ERASMUS ROTERODAMUS, DESIDERIUS <01> --- 873.4 ERASMUS ROTERODAMUS, DESIDERIUS <01> Humanistisch Latijnse literatuur--Bibliografieën. Catalogi--ERASMUS ROTERODAMUS, DESIDERIUS --- Humanistisch Latijnse literatuur--Bibliografieën. Catalogi--ERASMUS ROTERODAMUS, DESIDERIUS --- 873.4 ERASMUS ROTERODAMUS, DESIDERIUS --- 873.4 ERASMUS ROTERODAMUS, DESIDERIUS Humanistisch Latijnse literatuur--ERASMUS ROTERODAMUS, DESIDERIUS --- Humanistisch Latijnse literatuur--ERASMUS ROTERODAMUS, DESIDERIUS --- 873.4 ERASMUS ROTERODAMUS, DESIDERIUS:2 --- Humanistisch Latijnse literatuur-:-Godsdienst. Theologie--ERASMUS ROTERODAMUS, DESIDERIUS --- エラスムス, デシデリウス --- Christian literature, Latin (Medieval and modern). --- Latin literature, Medieval and modern. --- 1500-1599. --- Theology - Early works to 1800 --- Philosophy --- Classical languages --- Pronunciation. --- López de Zúñiga, Diego, --- Translating --- Christian life --- Confession --- Cousturier, Pierre, --- Bible --- Valla, Lorenzo --- Plutarque --- Luther, Martin --- Philosophy and religion - Early works to 1800. --- Christian literature, Latin (Medieval and modern) --- Latin literature, Medieval and modern --- Latin Christian literature, Medieval and modern --- Jean (Book of the New Testament) --- Johanisi (Book of the New Testament) --- Johannesevangelium --- John (Book of the New Testament) --- Yohan pogŭm --- Yohane den (Book of the New Testament) --- Yūḥannā (Book of the New Testament) --- Ioganaĭ (Book of the New Testament) --- Иоганай (Book of the New Testament) --- Desiderius Erasmus, --- Erasm, Dezideriĭ, --- Erasme, Désiré, --- Erasmo, Desidério, --- Roterodamus, Erasmus, --- Rotterdamskiĭ, Ėrazm, --- Rotterdamský, Erasmus Desiderius, --- Роттердамский, Эразм, --- Ерасм, Дезидерий, --- אראסמוס, דסידריוס, --- Theology --- Philosophy and religion --- Fathers of the church. --- Humanismus. --- Kirchenväter. --- Pères de l'Église. --- Rezeption.

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