Results 11 to 20 of about 150,165 (106)

Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups, I

open access: closedAdvances in Mathematics, 1979
Publisher Summary This chapter presents an overview of a characteristic-free approach to the representation theory of the general linear and symmetric groups along letter place algebras. Mackey's intertwining number theorem suggests to watch for a second R -basis of R αβ , which is of representation theoretical relevance. According to Young's rule,
Michael Clausen
  +8 more sources

Remark on representation theory of general linear groups over a non-archimedean local division algebra

open access: greenRad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 2015
26 ...
Marko Tadić
  +9 more sources

Effective Invariant Theory of Permutation Groups using Representation Theory [PDF]

open access: yes, 2015
Using the theory of representations of the symmetric group, we propose an algorithm to compute the invariant ring of a permutation group. Our approach have the goal to reduce the amount of linear algebra computations and exploit a thinner combinatorial ...
A Colin   +9 more
core   +5 more sources

A note on the Lawrence-Krammer-Bigelow representation

open access: yes, 2002
A very popular problem on braid groups has recently been solved by Bigelow and Krammer, namely, they have found a faithful linear representation for the braid group B_n.
Fadell   +5 more
core   +4 more sources

Algebraic Groups [PDF]

open access: yes, 2013
Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential equations.

core   +2 more sources

STBCs from Representation of Extended Clifford Algebras

open access: yes, 2007
A set of sufficient conditions to construct $\lambda$-real symbol Maximum Likelihood (ML) decodable STBCs have recently been provided by Karmakar et al. STBCs satisfying these sufficient conditions were named as Clifford Unitary Weight (CUW) codes.
Rajan, B. Sundar, Rajan, G. Susinder
core   +1 more source

Representation growth and representation zeta functions of groups [PDF]

open access: yes, 2012
We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
core   +3 more sources

GL-equivariant modules over polynomial rings in infinitely many variables

open access: yes, 2015
Consider the polynomial ring in countably infinitely many variables over a field of characteristic zero, together with its natural action of the infinite general linear group G.
Sam, Steven V, Snowden, Andrew
core   +1 more source

Tannakian approach to linear differential algebraic groups

open access: yes, 2007
Tannaka's Theorem states that a linear algebraic group G is determined by the category of finite dimensional G-modules and the forgetful functor. We extend this result to linear differential algebraic groups by introducing a category corresponding to ...
Alexey Ovchinnikov   +8 more
core   +5 more sources

Algebraic Families of Groups and Commuting Involutions

open access: yes, 2017
Let $G$ be a complex affine algebraic group, and let $\sigma_1$ and $\sigma_2$ be commuting anti-holomorphic involutions of $G$. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that
Barbasch, Dan   +2 more
core   +1 more source

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