Dirac Cohomology and Character Lifting

Abstract

The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules, or Dirac index of the trivial representation. The lifting of tempered characters in terms of index of Dirac cohomology is calculated explicitly.

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Correspondence to Jing Song Huang.

Additional information

Supported by grants (Grant No. 16303218) from Research Grant Council of HKSAR

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Huang, J.S. Dirac Cohomology and Character Lifting. Acta. Math. Sin.-English Ser. (2021). https://doi.org/10.1007/s10114-021-9366-0

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Keywords

  • Dirac cohomology
  • Dirac series
  • cubic Dirac operators
  • endoscopic transfer
  • character lifting

MR(2010) Subject Classification

  • 22E47
  • 22E46