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Zbl 1122.19001
Landweber, Gregory D.
Representation rings of Lie superalgebras. (English)
[J] $K$-Theory 36, No. 1-2, 115-168 (2005). ISSN 0920-3036; ISSN 1573-0514/e

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.
[Yong-Qing Chen (Shenzhen)]
MSC 2000:
*19A22 Frobenius induction, etc.
19L47 Equivariant K-theory
17B10 Representations of Lie algebras, algebraic theory
16E20 K-theory of noncommutative rings

Keywords: Lie superalgebra; representation ring; Grothendieck group

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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