Polynomial representations of GL(m|n)

Yuval Z. Flicker

doi:10.46298/hrj.2020.6459

Polynomial representations of GL(m|n)

Yuval Z. Flicker

Department of Mathematics

Ariel University

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

Abstract

We develop a modular version of a super analogue of Schur’s duality by means of supergroups, rather than Lie superalgebras, in preparation for a geometric analogue.

Original language	English
Pages (from-to)	38-57
Number of pages	20
Journal	Hardy-Ramanujan Journal
Volume	42
DOIs	https://doi.org/10.46298/hrj.2020.6459
State	Published - 2019

Keywords

comodules
finitary maps
GL(m|n)
Modular representations
Schur’s duality
super Schur algebra
supergroups

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.46298/hrj.2020.6459

Cite this

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title = "Polynomial representations of GL(m|n)",

abstract = "We develop a modular version of a super analogue of Schur{\textquoteright}s duality by means of supergroups, rather than Lie superalgebras, in preparation for a geometric analogue.",

keywords = "comodules, finitary maps, GL(m|n), Modular representations, Schur{\textquoteright}s duality, super Schur algebra, supergroups",

author = "Flicker, {Yuval Z.}",

year = "2019",

doi = "10.46298/hrj.2020.6459",

language = "الإنجليزيّة",

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KW - comodules

KW - finitary maps

KW - GL(m|n)

KW - Modular representations

KW - Schur’s duality

KW - super Schur algebra

KW - supergroups

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DO - 10.46298/hrj.2020.6459

M3 - مقالة

SN - 2804-7370

VL - 42

SP - 38

EP - 57

JO - Hardy-Ramanujan Journal

JF - Hardy-Ramanujan Journal

ER -

Polynomial representations of GL(m|n)

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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