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

Autor(es)

Grishkov, A. N. ^{[1, 2]} ; Marko, F. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 17, n. 2 FEB 2018.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 10/52121-8 - Frantisek Marko | Pennsylvania State University - Estados Unidos
• Beneficiário: Alexandre Grichkov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional