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20122023
most citedOn the quantum superalgebra U_q(gl(m,n)) and its representations at roots of 1

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math.RT2012★ 2 cited

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

Chaowen Zhang

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.