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Representation rings of Lie superalgebras. (English) Zbl 1122.19001

The author studies representation rings of Lie superalgebras and introduces several variants and possible definitions of the representation ring. The author also constructs representation groups built from ungraded g-modules, as well as degree-shifted representation groups using Clifford modules.

MSC:

19A22 Frobenius induction, Burnside and representation rings
19L47 Equivariant \(K\)-theory
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
16E20 Grothendieck groups, \(K\)-theory, etc.
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References:

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