Fusion rings of loop group representations

DOI10.1007/s00220-013-1679-0zbMath1280.22023arXiv0901.0391OpenAlexW2038627748MaRDI QIDQ2376061

Christopher L. Douglas

Publication date: 26 June 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0391

zbMATH Keywords

fusion ringloop group representationstwisted equivariant \(K\)-homology

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (8)

Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy ⋮ Positivity and periodicity of \(Q\)-systems in the WZW fusion ring ⋮ Loop groups and noncommutative geometry ⋮ Fusion rings for quantum groups ⋮ K-theory of AF-algebras from braided C*-tensor categories ⋮ Equivariant twisted real \(K\)-theory of compact Lie groups ⋮ A new approach to twisted \(K\)-theory of compact Lie groups ⋮ Rank 2 fusion rings are complete intersections

Cites Work

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• Fusion rules and modular transformations in 2D conformal field theory
• On the twisted \(K\)-homology of simple Lie groups
• Compression of root systems and the \(E\)-sequence
• On the structure of the fusion ideal
• Fusion rings and geometry
• On a theorem of Pittie
• Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
• On the quantization of conjugacy classes
• Loop groups and twisted K -theory I
• A conjectural presentation of fusion algebras
• Loop groups and twisted $K$-theory II
• PRESENTATIONS OF WESS–ZUMINO–WITTEN FUSION RINGS

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