Generalized B(m, n), C(n),D(m, n)-graded Lie superalgebras arising from fermionic-bosonic representations

Abstract

We construct fermionic-bosonic representations for a class of generalized B(m, n), C(n), D(m, n)-graded Lie superalgebras coordinatized by quantum tori with nontrivial central extensions.

Keywords

Root system graded Lie superalgebras / quantum tori / fermionicbosonic representations

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Higher Education Press and Springer-Verlag Berlin Heidelberg