Highest weight irreducible representations of the Lie superalgebra $gl(1/\infty )$

Abstract

Two classes of irreducible highest weight modules of the general linear Lie superalgebra $gl(1/\infty )$ are constructed. Within each module a basis is introduced and the transformation relations of the basis under the action of the algebra generators are written down.

24 pages, TeX; Journ. Math. Phys. (to be published)

References in corpus (1)

• A q-deformation of the parastatistics and an alternative to the Chevalley description of $U_q[osp(2n+1/2m)]$