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

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.

References in corpus (3)

• A new proof of the Mullineux conjecture
• Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$
• Crystal bases of q-deformed Kac modules over the quantum superalgebra $U_q(\gl(m|n))$