Dirac index and twisted characters
| Autor: | Pavle Pandžić, Dan Barbasch, Peter E. Trapa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Index (economics)
Lie group (g K)-module Dirac operator Dirac index twisted character Applied Mathematics General Mathematics 010102 general mathematics Dirac (software) 01 natural sciences 0103 physical sciences FOS: Mathematics 010307 mathematical physics Representation Theory (math.RT) 22E45 0101 mathematics Mathematics - Representation Theory Mathematical physics Mathematics |
| DOI: | 10.1090/tran/7318 |
| Popis: | Let G be a real reductive Lie group with maximal compact sub- group K. We generalize the usual notion of Dirac index to a twisted version, which is nontrivial even in case 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. Comment: Fixed minor typs. Added material on elliptic pairings |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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