On the representation theory of wreath products of finite groups and symmetric groups

被引：2

作者：

Pushkarev I.A.

机构：

来源：

Journal of Mathematical Sciences | 1999年 / 96卷 / 5期

关键词：

Finite Group; Representation Theory; Symmetric Group; Wreath Product; Inductive Approach;

D O I：

10.1007/BF02175835

中图分类号：

学科分类号：

摘要：

Let G∫SN be the wreath product of a finite group G and the symmetric group SN. The aim of this paper is to prove the branching theorem for the increasing sequence of finite groups G ∫ S1 C G ∫ S 2 C... G ∫ SN C... and the analog of Young's orthogonal form for this case, using the inductive approach invented by A. Vershik and A. Okounkov for the case of symmetric group. Bibliography: 8 titles. © 1999 Kluwer Academic/Plenum Publishers.

引用

页码：3590 / 3599

页数：9

共 8 条

[1]

Okounkov A., Vershik A., A New Approach to Representation Theory of Symmetric Groups, (1996)

[2]

Ariki S., Koike K., A Hecke algebra of ℤ/rℤ∫S<sub>n</sub> and construction of its irreducible representations, Adv. Math., 106, pp. 216-243, (1994)

[3]

Ram A., Seminormal Representations of Weyl Groups and Ivahori-Hecke Algebras, (1995)

[4]

Murphy G., A new construction of Young's seminormal representation of symmetric groups, J. Algebra, 69, pp. 267-291, (1981)

[5]

Jucys A., Symmetric polynomials and the center of the symmetric group ring, Rep. Math. Phys., 5, pp. 107-112, (1974)

[6]

James G., Kerber A., The Representation Theory of the Symmetric Group. Chap. 4, (1981)

[7]

Vershik A., Local Algebras and a New Version of Young's Orthogonal Form, 26, 2, (1990)

[8]

Macdonald I., Symmetric Functions and Hall Polynomials, (1995)

← 1 →