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Irreducible Characters of the Special Linear Group

This book covers the construction of irreducible characters of the 2 by 2 and 3 by 3 special linear group over the integers modulo a power;

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Character Theory of Finite Groups

Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the;

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Representations Of Finite And Lie Groups

of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group;

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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107

field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this;

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Character Theory of Finite Groups

." Bulletin of the American Mathematical Society.Character theory provides a powerful tool for proving theorems about finite groups. In addition;

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The Irreducible Tensor Method for Molecular Symmetry Groups

.The text begins with an introduction, followed by considerations of V coefficients for the octahedral group and other symmetry groups;

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Schur Algebras and Representation Theory

The Schur algebra is an algebraic system providing a link between the representation theory of the symmetric and general linear groups;

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Cambridge Tracts in Mathematics

The Schur algebra is an algebraic system providing a link between the representation theory of the symmetric and general linear groups;

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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129

This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F;

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Unitary Representations of Groups, Duals, and Characters

general and special linear groups. The book will appeal to graduate students who wish to learn the basics facts of an important topic and provides;

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Introduction to Group Characters

To an algebraist the theory of group characters presents one of those fascinating situations, where the structure of an abstract system;

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Theory Of Groups And Symmetries

constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C[Sr;

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Irreducible and Reducible Representations of the Symmetric Group

Group Representation Theory has many uses in Physics and Chemistry, representations of the symmetric group being the most widely used. This;

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Irreducible Geometric Subgroups of Classical Algebraic Groups

Let $G$ be a simple classical algebraic group over an algebraically closed field $K$ of characteristic $p ge 0$ with natural module $W;

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Representations of the Infinite Symmetric Group

on the simplest yet very nontrivial example of the infinite symmetric group, focusing on its deep connections to probability, mathematical;

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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible;

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Group Theory

in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard;

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Encyclopedia of Mathematics and its Applications

properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can;

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Encyclopedia of Mathematics and its Applications

properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can;

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Unitary Symmetry And Combinatorics

comprehensive theory of recoupling matrices for quantum angular momentum is developed. For the general unitary group, polynomial forms in many variables;

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Linear Algebra and Matrices

covered in typical linear algebra textbooks. The authors use abstract notions and arguments to give the complete proof of the Jordan;

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Riemann Surfaces and Generalized Theta Functions

submanifold in its associated torus; and various spaces of linear equivalence elasses of divisors on the surface (or equivalently spaces of analytic;

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Projective Representations And Spin Characters Of Complex Reflection Groups G(m,p,n) And G(m,p, )

representations of groups and algebras, and also of their characters. Nevertheless, to invite mathematicians to this interesting and important areas, the;

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Solution Of The K(gv) Problem, The

the order of V. Here V is a finite vector space and G a subgroup of GL(V) of order prime to that of V. It may be regarded as the special case;

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Linear Algebra and Matrices

, error correcting codes, and linear dynamical systems. Notable features include a discussion of the Weyr characteristic and Weyr canonical forms;

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Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118

unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving unipotent representations;

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