Descent Construction for GSpin Groups

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Release : 2016-09-06
Genre : Mathematics
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Book Rating : 670/5 ( reviews)

Descent Construction for GSpin 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 Descent Construction for GSpin Groups write by Joseph Hundley. This book was released on 2016-09-06. Descent Construction for GSpin Groups available in PDF, EPUB and Kindle. In this paper the authors provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is, representations which are isomorphic to the twist of their own contragredient by some Hecke character. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin2n to GL2n.

Descent Construction for Gspin Groups

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Release : 2016
Genre : Lie algebras
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Book Rating : /5 ( reviews)

Descent Construction for Gspin 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 Descent Construction for Gspin Groups write by Joseph Hundley. This book was released on 2016. Descent Construction for Gspin Groups available in PDF, EPUB and Kindle.

The Descent Map from Automorphic Representations of GL(n) to Classical Groups

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Release : 2011
Genre : Mathematics
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Book Rating : 980/5 ( reviews)

The Descent Map from Automorphic Representations of GL(n) to 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 The Descent Map from Automorphic Representations of GL(n) to Classical Groups write by David Ginzburg. This book was released on 2011. The Descent Map from Automorphic Representations of GL(n) to Classical Groups available in PDF, EPUB and Kindle. This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of the Gelfand?Graev type, or of the Fourier?Jacobi type to certain residual Eisenstein series. An account of this automorphic descent, with complete, detailed proofs, leads to a thorough understanding of important ideas and techniques. The book will be of interest to graduate students and mathematicians, who specialize in automorphic forms and in representation theory of reductive groups over local fields. Relatively self-contained, the content of some of the chapters can serve as topics for graduate students seminars.

Advances in the Theory of Automorphic Forms and Their $L$-functions

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Release : 2016-04-29
Genre : Mathematics
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Book Rating : 09X/5 ( reviews)

Advances in the Theory of Automorphic Forms and Their $L$-functions - 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 Advances in the Theory of Automorphic Forms and Their $L$-functions write by Dihua Jiang. This book was released on 2016-04-29. Advances in the Theory of Automorphic Forms and Their $L$-functions available in PDF, EPUB and Kindle. This volume contains the proceedings of the workshop on “Advances in the Theory of Automorphic Forms and Their L-functions” held in honor of James Cogdell's 60th birthday, held from October 16–25, 2013, at the Erwin Schrödinger Institute (ESI) at the University of Vienna. The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their L-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of p-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, L-functions for classical groups, special values of L-functions, Howe duality, subconvexity for L-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on L-functions, nodal sets and geometry.

Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces

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Release : 2017-01-18
Genre : Mathematics
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Book Rating : 941/5 ( reviews)

Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces - 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 Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces write by F. Dahmani. This book was released on 2017-01-18. Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces available in PDF, EPUB and Kindle. he authors introduce and study the notions of hyperbolically embedded and very rotating families of subgroups. The former notion can be thought of as a generalization of the peripheral structure of a relatively hyperbolic group, while the latter one provides a natural framework for developing a geometric version of small cancellation theory. Examples of such families naturally occur in groups acting on hyperbolic spaces including hyperbolic and relatively hyperbolic groups, mapping class groups, , and the Cremona group. Other examples can be found among groups acting geometrically on spaces, fundamental groups of graphs of groups, etc. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes. For instance, the authors solve two open problems about mapping class groups, and obtain some results which are new even for relatively hyperbolic groups.