Quantum superalgebras u_q(sl(m|n)) at roots of unity

Abstract

Finite dimensional Hopf superalgebras u_q(sl(m|n)) corresponding to the Lie superalgebras sl(m|n) are constructed. The PBW type basis and the left and right integrals of u_q(sl(m|n)) are obtained. Furthermore, the group of Hopf superalgebra automorphisms is described.

Keywords

Hopf superalgebra / PBW basis / automorphism group

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