Character Identities in the Twisted Endoscopy of Real Reductive Groups

Paul Mezo (Autor)

Buch | Softcover

94 Seiten

2013
American Mathematical Society (Verlag)
978-0-8218-7565-0 (ISBN)

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Suppose G is a real reductive algebraic group, θ is an automorphism of G, and ω is a quasicharacter of the group of real points G(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(R) and G(R) into L-packets. The author proves twisted character identities between L-packets of H(R) and G(R) comprised of essential discrete series or limits of discrete series.

Paul Mezo, Carleton University, Ottawa, ON, Canada

Introduction Notation The foundations of real twisted endoscopy The Local Langlands Correspondence Tempered essentially square-integrable representations Spectral transfer for essentially square-integrable representations Spectral transfer for limits of discrete series Appendix A. Parabolic descent for geometric transfer factors Bibliography Index

Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-7565-5 / 0821875655
ISBN-13	978-0-8218-7565-0 / 9780821875650
Zustand	Neuware