nLab Kac character formula

Contents

Contents

Idea

A formula for the Kac-Weyl character of loop group representations.

(Pressley-Segal 88 (14.3.4), Ando 00, 11.4, Ganter 12, corollary 8.6)

References

Originally due to Victor Kac.

  • Andrew Pressley, Graeme Segal, Loop groups Oxford University Press (1988)

  • Matthew Ando, Power operations in elliptic cohomology and representations of loop groups, Trans. Amer. Math. Soc., 352(12):5619-5666, 2000 (pdf)

Derivation from fiber integration in equivariant elliptic cohomology is in

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