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Complete sets of representations of classical Lie superalgebras

✍ Scribed by Edward S. Letzter; Ian M. Musson


Publisher
Springer
Year
1994
Tongue
English
Weight
384 KB
Volume
31
Category
Article
ISSN
0377-9017

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We have obtained all the finite-dimensional umtary irreps of gl(m I n) and C(n), which also exhaust such irreps of all the basic classical Lie superalgebras. The lowest weights of such irreps are worked out explimtly. It is also shown that the contravariant and covariant tensor irreps of gl(m I n) a

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Let G = osp(2, 2n) be the classical Lie superalgebra of type C of rank n + 1. Let Ξ» be a partition with Ξ» 1 n. Then Ξ» labels a finite-dimensional irreducible G-module, V (Ξ»). We describe the character of V (Ξ») in terms of tableaux. This tableaux description of characters enable us to decompose T = f