engleski

Dirac index and twisted characters

Let G be a real reductive Lie group with maximal compact subgroup K. We generalize the usual notion of Dirac index to a twisted version, which is nontrivial even in cases when G and K do not have equal rank. We compute ordinary and twisted indices of standard modules. As applications, we study extensions of Harish-Chandra modules and twisted characters.

Lie group, (g, K)-module, Dirac operator, Dirac index, twisted character

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