6) representation of compact group 紧群的表示补充资料:对称群的表示 对称群的表示 representation of the symmetric groups 【补注】令R(S二)是。个字母上的对称群S,的所有复不可约表示生成的自由Abel群.现考虑直和 R一愚R(“。),R(“。)一Z·可定义R上H呵代数(HoPf algebra)结构如下.首先作乘法.令...
In this chapter, representations of the symmetric group are studied in the geometric algebra \\\({\\\mathbb{G}}_{n,n}\\\) of neutral signature. The representation depends heavily upon the definition of a new twisted symmetric product , which does not depend upon a matrix representation, al...
The orthogonal and the natural representation for symmetric groups - Wu, Zhang - 1994 () Citation Context ...oximate matrix elements of certain irreducible representations of the symmetric group. The problem of computing explicit irreducible representations of the symmetric group has been studied ...
We review some recent advances in modular representation theory of symmetric groups and related Hecke algebras. We discuss connections with Khovanov-Lauda-Rouquier algebras and gradings on the blocks of the group algebras F\\Sigma_n F\\Sigma_n , which these connections reveal; graded ...
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; ...
Orrison, Representation theory of the symmetric group in voting theory and game theory, Algebraic and geometric methods in discrete mathematics, Contemp. Math., vol. 685, Amer. Math. Soc., Providence, RI, 2017, pp. 97-115.K. Crisman and M. Orrison, Representation Theory of the Symmetric ...
We do a survey of the general representation theory of the symmetric group. We summarize works done by Scopes, Martin and Russel on the blocks of small defect groups and their properties. We present some methods to calculate the decomposition numbers. With the method developed by Tan and Chuang...
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The ra... GD James - Cambridge University Press 被引量: 3446发表: 1981年 The Representation Theory of the Symmetric Groups The Representation Theory ...
We show a new method for computing the dimensions of the irreducible constituents of W. Further, we apply this method to Majorana representations of the symmetric groups and prove that the symmetric group has a Majorana representation in which every permutation of type (2, 2) of corresponds to...
Representation Theory of Finite GroupsSymmetric Functionquantum mechanicsNo group is of greater importance than the symmetric group. After all, any group can be embedded as a subgroup of a symmetric group. In this chapter, we construct the irreducible representations of the symmetric group S n . ...