Irreducible representations of q-Schur superalgebras at a root of unity

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• 作者：Jie Du^a ; ^{j.du@unsw.edu.au" class="auth_mail} ; Haixia Gu^b ; ^{alla0824@126.com" class="auth_mail} ; Jianpan Wang^b ; ^{jpwang@admin.ecnu.edu.cn" class="auth_mail}
• 关键词：Primary ; 20C08 ; 20G42 ; 20G43 ; secondary ; 17A70 ; 17B37
• 刊名：Journal of Pure and Applied Algebra
• 出版年：November 2014
• 年：2014
• 卷：218
• 期：11
• 页码：2012-2059
• 全文大小：668 K

文摘

Under the assumption that the quantum parameter q   is an l  th primitive root of unity with l   odd in a field F   of characteristic 0 and m+n猢緍$m+n猢?/mo><mi>r</mi>$, we obtain a complete classification of irreducible modules of the q  -Schur superalgebra S_F(m|n,r)${\mathcal{S}}_F(m|n,r)$ introduced in [12].