Description of costandard modules for schur superalgebra s(2ǀ1) in positive characteristic

A. N. Grishkov; F. Marko; A. N. Zubkov

doi:10.1080/03081080903264107

Description of costandard modules for schur superalgebra s(2ǀ1) in positive characteristic

A. N. Grishkov, F. Marko, A. N. Zubkov

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

5 Citations (Scopus)

Abstract

We describe the characters of simple modules and composition factors of costandard modules for S(2{pipe}1) in positive characteristics and verify a conjecture of La Scala-Zubkov regarding polynomial superinvariants for GL(2{pipe}1).

Original language	English
Pages (from-to)	57-64
Number of pages	8
Journal	Linear and Multilinear Algebra
Volume	59
Issue number	1
DOIs	https://doi.org/10.1080/03081080903264107
Publication status	Published - Jan 2011
Externally published	Yes

Keywords

Costandard module
Polynomial superinvariant
Superalgebra

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/03081080903264107

Cite this

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title = "Description of costandard modules for schur superalgebra s(2ǀ1) in positive characteristic",

abstract = "We describe the characters of simple modules and composition factors of costandard modules for S(2{pipe}1) in positive characteristics and verify a conjecture of La Scala-Zubkov regarding polynomial superinvariants for GL(2{pipe}1).",

keywords = "Costandard module, Polynomial superinvariant, Superalgebra",

author = "Grishkov, {A. N.} and F. Marko and Zubkov, {A. N.}",

year = "2011",

month = jan,

doi = "10.1080/03081080903264107",

language = "English",

volume = "59",

pages = "57--64",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

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T1 - Description of costandard modules for schur superalgebra s(2ǀ1) in positive characteristic

AU - Grishkov, A. N.

AU - Marko, F.

AU - Zubkov, A. N.

PY - 2011/1

Y1 - 2011/1

N2 - We describe the characters of simple modules and composition factors of costandard modules for S(2{pipe}1) in positive characteristics and verify a conjecture of La Scala-Zubkov regarding polynomial superinvariants for GL(2{pipe}1).

AB - We describe the characters of simple modules and composition factors of costandard modules for S(2{pipe}1) in positive characteristics and verify a conjecture of La Scala-Zubkov regarding polynomial superinvariants for GL(2{pipe}1).

KW - Costandard module

KW - Polynomial superinvariant

KW - Superalgebra

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DO - 10.1080/03081080903264107

M3 - Article

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JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 1

ER -

Description of costandard modules for schur superalgebra s(2ǀ1) in positive characteristic

Abstract

Keywords

ASJC Scopus subject areas

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