Fusion Rings of Loop Group Representations

Abstract

We compute the fusion rings of positive energy representations of the loop groups of the simple, simply connected Lie groups.

References in corpus (3)

• Loop groups and twisted K-theory I
• Presentations of Wess-Zumino-Witten Fusion Rings
• On the Structure of the Fusion Ideal

Cited by in corpus (12)

• Equivariant K-theory of compact Lie group actions with maximal rank isotropy
• The Real K-Theory of Compact Lie Groups
• Positivity and periodicity of $Q$-systems in the WZW fusion ring
• Equivariant twisted Real $K$-theory of compact Lie groups
• Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries
• $K$-theory of AF-algebras from braided C*-tensor categories
• Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy
• Loop groups and noncommutative geometry
• A new approach to twisted K-theory of compact Lie groups
• Fusion rings for quantum groups
• Unitary coboundary weak quasi-Hopf algebras in the Kazhdan-Lusztig-Finkelberg theorem
• Spectral Sequence Computation of Higher Twisted $K$-Groups of $SU(n)$