Equivariant \(K\)-theory, wreath products, and Heisenberg algebra

DOI10.1215/S0012-7094-00-10311-0zbMath0947.19004arXivmath/9907151OpenAlexW2094534542MaRDI QIDQ1568656

Weiqiang Wang

Publication date: 6 November 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907151

zbMATH Keywords

orbifoldHopf algebraFock spaceHilbert schemesAdams operationsequivariant topological \(K\)-theory\(\lambda\)-ringsupersymmetric algebrafinite-dimensional Heisenberg superalgebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Equivariant (K)-theory (19L47)

Related Items

Unnamed Item, The Farahat-Higman ring of wreath products and Hilbert schemes, On the power structure over the Grothendieck ring of varieties and its applications, Equivariant characteristic classes of external and symmetric products of varieties, Functional equations for orbifold wreath products, Generalized orbifold Euler characteristics for general orbifolds and wreath products, Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces, Generalized orbifold Euler characteristic of symmetric products and equivariant Morava \(K\)-theory, Two-parameter quantum vertex representations via finite groups and the McKay correspondence, Infinite product decomposition of orbifold mapping spaces, Representation Rings of Classical Groups and Hopf Algebras, Twisted vertex representations via spin groups and the McKay correspondence., Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries

Cites Work

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• On equivariant Euler characteristics
• On the Euler number of an orbifold
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Polynomial functors and wreath products
• Representations of finite classical groups. A Hopf algebra approach
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• The Douady space of a complex surface
• A strong coupling test of \(S\)-duality
• Instantons and affine algebras. I: The Hilbert scheme and vertex operators
• Equivariant K-theory
• Vertex algebras, Kac-Moody algebras, and the Monster
• Vertex representations via finite groups and the McKay correspondence
• Cherednik algebras and Hilbert schemes in characteristic 𝑝
• POWER OPERATIONS IN K-THEORY