On the decomposition rules of tensor products of the representations of the classical Weyl groups
TLDR
In this article, the decomposition rules of tensor products of the representations of the classical Weyl groups were studied and three conditions were established: condition 1, condition 2, condition 3.About:
This article is published in Journal of Algebra.The article was published on 1984-06-01 and is currently open access. It has received 9 citations till now. The article focuses on the topics: Restricted representation & Symmetric group.read more
Citations
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Journal ArticleDOI
Induction and restriction of kazhdan-lusztig cells
TL;DR: Barbasch and Vogan gave a beautiful rule for restricting and inducing Kazhdan-Lusztig representations of Weyl groups as discussed by the authors, and this rule implies and generalizes the Littlewood-Richardson rule for decomposing outer products of representations of the symmetric groups.
Journal ArticleDOI
A homological study of Green polynomials
TL;DR: In this paper, the orthogonality relation of Kostka polynomials arising from complex reection groups was analyzed in terms of homological algebra, and it was shown that every generalized Springer correspondence in a good characteristic gives rise to a kostka system.
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Quantum channels with quantum group symmetry
Hun Hee Lee,Sang-Gyun Youn +1 more
TL;DR: In this paper, it was shown that any compact quantum group can be used as symmetry groups for quantum channels, which leads us to the concept of covariant channels, and the structure of the convex set of covariants was uncovered by identifying all extreme points under the assumption of multiplicity-free condition for the associated fusion rule.
Journal ArticleDOI
A Signed Generalization of the Bernoulli–Laplace Diffusion Model
TL;DR: In this article, the authors bound the rate of convergence to stationarity for a signed generalization of the Bernoulli-Laplace diffusion model, which is a Markov chain on the homogeneous space.
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A signed generalization of the Bernoulli-Laplace diffusion model
TL;DR: In this paper, the authors bound the rate of convergence to stationarity for a signed generalization of the Bernoulli-Laplace diffusion model, which is a Markov chain on the homogeneous space (Z_2 \wr S_n) / (S_r \times Sn-r}).
References
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MonographDOI
The representation theory of the symmetric group
Gordon James,Adalbert Kerber +1 more
TL;DR: In this paper, the authors propose a representation theory of symmetric groups and their young subgroups, which is based on the notion of irreducible matrix representations of groups.
Book
The representation theory of the symmetric group
TL;DR: The Representation Theory of the Symmetric Group as mentioned in this paper provides an account of both the ordinary and modular representation theory of the symmetric groups, and its applications are vast, varying from theoretical physics through combinatories to the study of polynomial identity algebras.
Journal ArticleDOI
On the characters of the Weyl group of type C
S.J Mayer,S.J Mayer +1 more
TL;DR: In this article, the authors studied the irreducible constituents of the principal character of a Weyl subgroup induced up to the whole Weyl group of type C or hyper-octahedral group.
Book ChapterDOI
Representations and Coxeter Graphs
David Ford,John McKay +1 more
TL;DR: The properties described here were found while investigating relations between the Lie group E 8, Thompson's simple subgroup of the "Monster" which centralizes an element of order three therein, and the cube root of the modular function j as mentioned in this paper.
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