Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Group theory --- Physics --- Representations of groups. --- Symmetry groups. --- Représentations de groupes --- Groupes symétriques --- Representations of groups --- Représentations de groupes --- Groupes symétriques --- Symmetry groups --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Quantum theory --- Group representation (Mathematics) --- Groups, Representation theory of

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, Euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are more demanding.This text grew out of lectures which the author gave at the N.S.F. Advanced Science Seminar on Algebraic Groups at Bowdoin College in 1968.

Topological groups. Lie groups --- Lie algebras --- Representations of groups --- Representations of algebras --- Algèbres de Lie --- Représentations de groupes --- Représentations d'algèbres --- #TCPW W2.0 --- #TCPW W2.1 --- Algebra --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups --- Lie algebras. --- Representations of groups. --- Representations of Lie algebras. --- Representations of Lie groups. --- Algèbres de Lie --- Représentations de groupes --- Représentations d'algèbres --- Representations of Lie algebras --- Lie, Algèbres de

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Crystal lattices --- Vibrational spectra --- Representations of groups --- 543.422.4 --- Spectrum, Vibrational --- Vibration spectra --- Molecular spectra --- Molecular spectroscopy --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Crystals --- Crystallography, Mathematical --- Lattice theory --- Twinning (Crystallography) --- Infra-red spectroscopy --- Lattices --- Crystal lattices. --- Representations of groups. --- Vibrational spectra. --- Correlation tables --- Selection rules --- Site symmetry --- Correlation tables. --- Selection rules. --- Site symmetry. --- 543.422.4 Infra-red spectroscopy --- Infrared spectra. --- Lattice dynamics. --- Raman effect. --- Molecular vibration --- Selection rule --- Symmetry

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. While there are analogies to the GL(2) case, this theory is novel and unanticipated by the existing framework of conjectures. An appendix includes extensive tables about the results and the representation theory of GSp(4).

Representations of groups. --- Automorphic forms. --- Hecke operators. --- Représentations de groupes --- Formes automorphes --- Opérateurs de Hecke --- Representations of groups --- Automorphic forms --- Hecke operators --- Mathematical Theory --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Operators, Hecke --- Group representation (Mathematics) --- Groups, Representation theory of --- Mathematics. --- Algebra. --- Topological groups. --- Lie groups. --- Number theory. --- Number Theory. --- Topological Groups, Lie Groups. --- Number study --- Numbers, Theory of --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groups, Topological --- Continuous groups --- Mathematical analysis --- Math --- Science --- Forms, Modular --- Operator theory --- Automorphic functions --- Forms (Mathematics) --- Group theory --- Topological Groups.