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Dirac Cohomology and Character Lifting

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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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Authors and Affiliations

  1. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong SAR, P. R. China

    Jing Song Huang

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  1. Jing Song Huang
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Correspondence to Jing Song Huang.

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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. 37, 525–537 (2021). https://doi.org/10.1007/s10114-021-9366-0

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  • DOI: https://doi.org/10.1007/s10114-021-9366-0

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