Local Coefficients and Gamma Factors for Principal Series of Covering 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 Local Coefficients and Gamma Factors for Principal Series of Covering Groups write by Fan Gao. This book was released on 2023. Local Coefficients and Gamma Factors for Principal Series of Covering Groups available in PDF, EPUB and Kindle. We consider an n-fold Brylinski-Deligne cover of a reductive group over a p-adic field. Since the space of Whittaker functionals of an irreducible genuine representation of such a cover is not one-dimensional, one can consider a local coefficients matrix arising from an intertwining operator, which is the natural analogue of the local coefficients in the linear case. In this paper, we concentrate on genuine principal series representations and establish some fundamental properties of such a local consequence, we prove a form of the Casselman-Shalika formula which could be viewed as a natural analogue for linear algebraic groups. We also investigate in some depth the behaviour of the local coefficients matrix with respect to the restriction of genuine principal series from covers of GL2 to SL2. In particular, some further relations are unveiled between local coefficients matrices and gamma factors or metaplectic-gamma factors--Abstract, pg. v.
Local Coefficients and Gamma Factors for Principal Series of Covering Groups
Local Coefficients and Gamma Factors for Principal Series of Covering 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 Local Coefficients and Gamma Factors for Principal Series of Covering Groups write by Fan Gao. This book was released on 2023-03-10. Local Coefficients and Gamma Factors for Principal Series of Covering Groups available in PDF, EPUB and Kindle. View the abstract.
Unitarizability in Corank Three for Classical $p$-adic Groups
Unitarizability in Corank Three for Classical $p$-adic 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 Unitarizability in Corank Three for Classical $p$-adic Groups write by Marko Tadi?. This book was released on 2023-06-22. Unitarizability in Corank Three for Classical $p$-adic Groups available in PDF, EPUB and Kindle. View the abstract.
Geometry, Algebra, Number Theory, and Their Information Technology Applications
Geometry, Algebra, Number Theory, and Their Information Technology Applications - 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 Geometry, Algebra, Number Theory, and Their Information Technology Applications write by Amir Akbary. This book was released on 2018-09-18. Geometry, Algebra, Number Theory, and Their Information Technology Applications available in PDF, EPUB and Kindle. This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.
Representation Theory of Geigle-Lenzing Complete Intersections
Representation Theory of Geigle-Lenzing Complete Intersections - 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 Representation Theory of Geigle-Lenzing Complete Intersections write by Martin Herschend. This book was released on 2023-05-23. Representation Theory of Geigle-Lenzing Complete Intersections available in PDF, EPUB and Kindle. View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?
