Character Identities in the Twisted Endoscopy of Real Reductive Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Character Identities in the Twisted Endoscopy of Real Reductive Groups write by Paul Mezo. This book was released on 2013-02-26. Character Identities in the Twisted Endoscopy of Real Reductive Groups available in PDF, EPUB and Kindle. 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.
Representations of Reductive Groups
Representations of Reductive Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Reductive Groups write by Monica Nevins. This book was released on 2015-12-18. Representations of Reductive Groups available in PDF, EPUB and Kindle. Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 19-23, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, Jing-Song Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson
Equivalent Definitions of Arthur Packets for Real Classical Groups
Equivalent Definitions of Arthur Packets for Real Classical Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivalent Definitions of Arthur Packets for Real Classical Groups write by J. Adams. This book was released on 2024-09-09. Equivalent Definitions of Arthur Packets for Real Classical Groups available in PDF, EPUB and Kindle. View the abstract.
Level One Algebraic Cusp Forms of Classical Groups of Small Rank
Level One Algebraic Cusp Forms of Classical Groups of Small Rank - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Level One Algebraic Cusp Forms of Classical Groups of Small Rank write by Gaëtan Chenevier. This book was released on 2015-08-21. Level One Algebraic Cusp Forms of Classical Groups of Small Rank available in PDF, EPUB and Kindle. The authors determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of GLn over Q of any given infinitesimal character, for essentially all n≤8. For this, they compute the dimensions of spaces of level 1 automorphic forms for certain semisimple Z-forms of the compact groups SO7, SO8, SO9 (and G2) and determine Arthur's endoscopic partition of these spaces in all cases. They also give applications to the 121 even lattices of rank 25 and determinant 2 found by Borcherds, to level one self-dual automorphic representations of GLn with trivial infinitesimal character, and to vector valued Siegel modular forms of genus 3. A part of the authors' results are conditional to certain expected results in the theory of twisted endoscopy.
Endoscopic Classification of Representations of Quasi-Split Unitary Groups
Endoscopic Classification of Representations of Quasi-Split Unitary Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Endoscopic Classification of Representations of Quasi-Split Unitary Groups write by Chung Pang Mok. This book was released on 2015-04-09. Endoscopic Classification of Representations of Quasi-Split Unitary Groups available in PDF, EPUB and Kindle. In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
