Symmetrizable Quantum Affine Superalgebras And Their Representations

Details Symmetrizable Quantum Affine Superalgebras And Their Representations Symmetrizable Quantum Affine Superalgebras And Their Representations

1996-12-17

arxiv.org/abs/q-alg/9612020v1

Mathematics

Quantum Algebra

Latex, 14 pages

Scientific paper

10.1063/1.531833

Aspects of the algebraic structure and representation theory of the quantum affine superalgebras with symmetrizable Cartan matrices are studied. The irreducible integrable highest weight representations are classified, and shown to be deformations of their classical counterparts. It is also shown that Jimbo type quantum affine superalgebras can be obtained by deforming universal enveloping algebras of ordinary (i.e., non-graded) affine algebras supplemented by certain parity operators.

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