Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic

A. N. Grishkov; F. Marko

doi:10.1142/S021949881850038X

Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic

A. N. Grishkov, F. Marko

Penn State Hazleton

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

1 Scopus citations

Abstract

In this paper, we shall describe costandard modules ∇ (γ ) of restricted highest weight ∇ for Schur superalgebra S(2|2) over an algebraically closed field K of positive characteristic p > 2. Additionally, for a restricted highest weight γ , we determine all composition factors of the costandard module ∇ (γ ); in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.

Original language	English (US)
Article number	1850038
Journal	Journal of Algebra and its Applications
Volume	17
Issue number	2
DOIs	https://doi.org/10.1142/S021949881850038X
State	Published - Feb 1 2018

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

Access to Document

10.1142/S021949881850038X

Cite this

@article{582e3260e758470e8b2d001923f1636a,

title = "Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic",

abstract = "In this paper, we shall describe costandard modules ∇ (γ ) of restricted highest weight ∇ for Schur superalgebra S(2|2) over an algebraically closed field K of positive characteristic p > 2. Additionally, for a restricted highest weight γ , we determine all composition factors of the costandard module ∇ (γ ); in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.",

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

note = "Publisher Copyright: {\textcopyright} 2018 World Scientific Publishing Company.",

year = "2018",

month = feb,

day = "1",

doi = "10.1142/S021949881850038X",

language = "English (US)",

volume = "17",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "2",

}

TY - JOUR

T1 - Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic

AU - Grishkov, A. N.

AU - Marko, F.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - In this paper, we shall describe costandard modules ∇ (γ ) of restricted highest weight ∇ for Schur superalgebra S(2|2) over an algebraically closed field K of positive characteristic p > 2. Additionally, for a restricted highest weight γ , we determine all composition factors of the costandard module ∇ (γ ); in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.

AB - In this paper, we shall describe costandard modules ∇ (γ ) of restricted highest weight ∇ for Schur superalgebra S(2|2) over an algebraically closed field K of positive characteristic p > 2. Additionally, for a restricted highest weight γ , we determine all composition factors of the costandard module ∇ (γ ); in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.

UR - http://www.scopus.com/inward/record.url?scp=85015959023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85015959023&partnerID=8YFLogxK

U2 - 10.1142/S021949881850038X

DO - 10.1142/S021949881850038X

M3 - Article

AN - SCOPUS:85015959023

SN - 0219-4988

VL - 17

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 2

M1 - 1850038

ER -

Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this