The Center of Dist (GL(m|n)) in Positive Characteristic

Alexandr N. Zubkov; František Marko

doi:10.1007/s10468-015-9591-2

The Center of Dist (GL(m|n)) in Positive Characteristic

Alexandr N. Zubkov
, František Marko

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

8 Citations (Scopus)

Abstract

The purpose of this paper is to investigate central elements in distribution algebras Dist(G) of general linear supergroups G = GL(m|n). As an application, we compute explicitly the center of Dist(GL(1|1)) and its image under Harish-Chandra homomorphism.

Original language	English
Pages (from-to)	613-639
Number of pages	27
Journal	Algebras and Representation Theory
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/s10468-015-9591-2
Publication status	Published - Jun 1 2016
Externally published	Yes

Keywords

Distribution algebra
General linear supergroup
Harish-Chandra morphism
Invariants

ASJC Scopus subject areas

General Mathematics

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10.1007/s10468-015-9591-2

Cite this

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title = "The Center of Dist (GL(m|n)) in Positive Characteristic",

abstract = "The purpose of this paper is to investigate central elements in distribution algebras Dist(G) of general linear supergroups G = GL(m|n). As an application, we compute explicitly the center of Dist(GL(1|1)) and its image under Harish-Chandra homomorphism.",

keywords = "Distribution algebra, General linear supergroup, Harish-Chandra morphism, Invariants",

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AU - Marko, František

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AB - The purpose of this paper is to investigate central elements in distribution algebras Dist(G) of general linear supergroups G = GL(m|n). As an application, we compute explicitly the center of Dist(GL(1|1)) and its image under Harish-Chandra homomorphism.

KW - Distribution algebra

KW - General linear supergroup

KW - Harish-Chandra morphism

KW - Invariants

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The Center of Dist (GL(m|n)) in Positive Characteristic

Abstract

Keywords

ASJC Scopus subject areas

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