Results 11 to 20 of about 150,165 (106)
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
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Marko Tadić
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Effective Invariant Theory of Permutation Groups using Representation Theory [PDF]
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
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A note on the Lawrence-Krammer-Bigelow representation
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
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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.
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STBCs from Representation of Extended Clifford Algebras
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
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Representation growth and representation zeta functions of groups [PDF]
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
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GL-equivariant modules over polynomial rings in infinitely many variables
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
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Tannakian approach to linear differential algebraic groups
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
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Algebraic Families of Groups and Commuting Involutions
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
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