DESCRIPTION OF COSTANDARD MODULES OF SCHUR SUPERALGEBRA S(3 vertical bar 1)

作者：Marko F^*

来源：Communications in Algebra, 2013, 41(7): 2665-2697.

DOI：10.1080/00927872.2012.660263

• Costandard module
• Decomposition numbers
• General linear group
• Schur superalgebra

Let S(m|n) be a Schur superalgebra over a base field K of any characteristic different from 2. The characters of simple S(m|n)-modules and composition factors of costandard modules delta() for restricted weights were determined for the Schur superalgebra S(2|1) in [6] and for Schur superalgebra S(2|2) in [4] and [5]. The goal of this article is to obtain corresponding results for Schur superalgebra S(3|1). Additionally, we determine the character of delta() for all Schur superalgebras S(m|1), where m1.

• 出版日期2013-5-28