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Character Identities in the Twisted Endoscopy of Real Reductive Groups Book PDF Summary

Suppose $G$ is a real reductive algebraic group, $\theta$ is an automorphism of $G$, and $\omega$ is a quasicharacter of the group of real points $G(\mathbf{R})$. Under some additional assumptions, the theory of twisted endoscopy associates to this triple real reductive groups $H$. The Local Langlands Correspondence partitions the admissible representations of $H(\mathbf{R})$ and $G(\mathbf{R})$ into $L$-packets. The author proves twisted character identities between $L$-packets of $H(\mathbf{R})$ and $G(\mathbf{R})$ comprised of essential discrete series or limits of discrete series.

Detail Book of Character Identities in the Twisted Endoscopy of Real Reductive Groups PDF

Character Identities in the Twisted Endoscopy of Real Reductive Groups
  • Author : Paul Mezo
  • Release : 26 February 2013
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821875650
  • Genre : Mathematics
  • Total Page : 106 pages
  • Language : English
  • PDF File Size : 13,8 Mb

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