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

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Author(s):	Grishkov, A. N. ^{[1, 2]} ; Marko, F. ^[3] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Math & Estat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil ^[2] Omsk State Univ, Pr Mira 55-A, Omsk 644077 - Russia ^[3] Penn State Hazleton, 76 Univ Dr, Hazleton, PA 18202 - USA Total Affiliations: 3
Document type:	Journal article
Source:	JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 17, n. 2 FEB 2018.
Web of Science Citations:	0
Abstract
In this paper, we shall describe costandard modules Delta(lambda) of restricted highest weight lambda for Schur superalgebra S(2\|2) over an algebraically closed field K of positive characteristic p > 2. Additionally, for a restricted highest weight lambda, we determine all composition factors of the costandard module Delta(lambda); in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight. (AU)

FAPESP's process:	10/52121-8 - Frantisek Marko \| Pennsylvania State University - Estados Unidos
Grantee:	Alexandre Grichkov
Support Opportunities:	Research Grants - Visiting Researcher Grant - International