Wreath Hecke algebras and centralizer construction for wreath products

Jinkui Wan

doi:10.1016/j.jalgebra.2010.02.020

Wreath Hecke algebras and centralizer construction for wreath products

Jinkui Wan^*

^*Corresponding author for this work

University of Virginia

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Generalizing the centralizer construction of Molev and Olshanski on symmetric groups, we study the structures of the centralizer Z_{m, n} of the wreath product G_{n - m} in the group algebra of G_n for any n ≥ m. We establish the connection between Z_{m, n} and a generalization of degenerate affine Hecke algebras introduced in our earlier work.

Original language	English
Pages (from-to)	2371-2397
Number of pages	27
Journal	Journal of Algebra
Volume	323
Issue number	9
DOIs	https://doi.org/10.1016/j.jalgebra.2010.02.020
Publication status	Published - 1 May 2010
Externally published	Yes

Keywords

Centralizer
Hecke algebra
Wreath product

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10.1016/j.jalgebra.2010.02.020

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title = "Wreath Hecke algebras and centralizer construction for wreath products",

abstract = "Generalizing the centralizer construction of Molev and Olshanski on symmetric groups, we study the structures of the centralizer Zm, n of the wreath product Gn - m in the group algebra of Gn for any n ≥ m. We establish the connection between Zm, n and a generalization of degenerate affine Hecke algebras introduced in our earlier work.",

keywords = "Centralizer, Hecke algebra, Wreath product",

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AU - Wan, Jinkui

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N2 - Generalizing the centralizer construction of Molev and Olshanski on symmetric groups, we study the structures of the centralizer Zm, n of the wreath product Gn - m in the group algebra of Gn for any n ≥ m. We establish the connection between Zm, n and a generalization of degenerate affine Hecke algebras introduced in our earlier work.

AB - Generalizing the centralizer construction of Molev and Olshanski on symmetric groups, we study the structures of the centralizer Zm, n of the wreath product Gn - m in the group algebra of Gn for any n ≥ m. We establish the connection between Zm, n and a generalization of degenerate affine Hecke algebras introduced in our earlier work.

KW - Centralizer

KW - Hecke algebra

KW - Wreath product

UR - https://www.scopus.com/pages/publications/77949491521

U2 - 10.1016/j.jalgebra.2010.02.020

DO - 10.1016/j.jalgebra.2010.02.020

M3 - Article

AN - SCOPUS:77949491521

SN - 0021-8693

VL - 323

SP - 2371

EP - 2397

JO - Journal of Algebra

JF - Journal of Algebra

IS - 9

ER -

Wreath Hecke algebras and centralizer construction for wreath products

Abstract

Keywords

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