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This third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other topics, projective Schur index and projective representations of abelian groups are covered. The last topic is investigated by introducing a symplectic geometry on finite abelian groups. The second part is devoted to Clifford theory for graded algebras and its application to the corresponding theo

Representations of groups. --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory

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Representations of algebraic groups

Group theory --- Representations of groups. --- Linear algebraic groups. --- Representations of groups --- Linear algebraic groups --- Algebraic groups, Linear --- Geometry, Algebraic --- Algebraic varieties --- Group representation (Mathematics) --- Groups, Representation theory of

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Finite groups. --- Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Groups, Finite --- Modules (Algebra) --- Finite groups --- Representations of groups

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This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.

Group theory --- Representations of groups. --- Representations of semigroups. --- Representations of categories. --- Representations of groups --- Representations of semigroups --- Representations of categories --- 512.53 --- 512.54 --- 512.58 --- 512.54 Groups. Group theory --- Groups. Group theory --- 512.53 Semigroups --- Semigroups --- Group representation (Mathematics) --- Groups, Representation theory of --- Categories (Mathematics) --- 512.58 Categories. Category theory --- Categories. Category theory

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This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Lie groups. --- Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Groups, Lie --- Group theory --- Lie algebras --- Symmetric spaces --- Topological groups --- Lie, Groupes de --- Lie, Algèbres de. --- Lie groups --- Representations of Lie groups --- Representations of Lie algebras --- Représentations de groupes de Lie. --- Représentations d'algèbres de Lie.