On the quantum superalgebra U_q(gl(m,n)) and its representations at roots of 1

2012/11/17 by Chaowen Zhang, Zhang, Chaowen
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.RT #msc:17B37 #msc:17B50

paper · pdf · doi:10.48550/arxiv.1211.4115

arxiv created 2018/08/11 · arxiv updated 2018/08/14

Abstract

An purely algebraic proof of the PBW theorem of U_q(gl(m,n)) is given. Lusztig's conjecture is extended to the super case. The Lusztig's tensor product theorem is established.

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