Local Coefficients And Gamma Factors For Principal Series Of Covering Groups
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Author |
: Fan Gao |
Publisher |
: American Mathematical Society |
Total Pages |
: 148 |
Release |
: 2023-03-10 |
ISBN-10 |
: 9781470456818 |
ISBN-13 |
: 1470456818 |
Rating |
: 4/5 (18 Downloads) |
Synopsis Local Coefficients and Gamma Factors for Principal Series of Covering Groups by : Fan Gao
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Author |
: Fan Gao |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2023 |
ISBN-10 |
: 147047400X |
ISBN-13 |
: 9781470474003 |
Rating |
: 4/5 (0X Downloads) |
Synopsis Local Coefficients and Gamma Factors for Principal Series of Covering Groups by : Fan Gao
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.
Author |
: Marko Tadi? |
Publisher |
: American Mathematical Society |
Total Pages |
: 134 |
Release |
: 2023-06-22 |
ISBN-10 |
: 9781470462833 |
ISBN-13 |
: 1470462834 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Unitarizability in Corank Three for Classical $p$-adic Groups by : Marko Tadi?
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Author |
: Amir Akbary |
Publisher |
: Springer |
Total Pages |
: 523 |
Release |
: 2018-09-18 |
ISBN-10 |
: 9783319973791 |
ISBN-13 |
: 3319973797 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Geometry, Algebra, Number Theory, and Their Information Technology Applications by : Amir Akbary
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.
Author |
: Martin Herschend |
Publisher |
: American Mathematical Society |
Total Pages |
: 156 |
Release |
: 2023-05-23 |
ISBN-10 |
: 9781470456313 |
ISBN-13 |
: 1470456311 |
Rating |
: 4/5 (13 Downloads) |
Synopsis Representation Theory of Geigle-Lenzing Complete Intersections by : Martin Herschend
View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?
Author |
: James East |
Publisher |
: American Mathematical Society |
Total Pages |
: 144 |
Release |
: 2023-04-07 |
ISBN-10 |
: 9781470462697 |
ISBN-13 |
: 1470462699 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Congruence Lattices of Ideals in Categories and (Partial) Semigroups by : James East
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Author |
: Nobuhiro Honda |
Publisher |
: American Mathematical Society |
Total Pages |
: 148 |
Release |
: 2023-05-23 |
ISBN-10 |
: 9781470464127 |
ISBN-13 |
: 1470464128 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Twistors, Quartics,and del Pezzo Fibrations by : Nobuhiro Honda
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Author |
: Mohandas Pillai |
Publisher |
: American Mathematical Society |
Total Pages |
: 254 |
Release |
: 2023-04-07 |
ISBN-10 |
: 9781470459932 |
ISBN-13 |
: 1470459930 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation by : Mohandas Pillai
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Author |
: Narjess Afzaly |
Publisher |
: American Mathematical Society |
Total Pages |
: 94 |
Release |
: 2023-04-07 |
ISBN-10 |
: 9781470447120 |
ISBN-13 |
: 1470447126 |
Rating |
: 4/5 (20 Downloads) |
Synopsis The Classification of Subfactors with Index at Most $5 frac {1}{4}$ by : Narjess Afzaly
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Author |
: Giao Ky Duong |
Publisher |
: American Mathematical Society |
Total Pages |
: 104 |
Release |
: 2023-05-23 |
ISBN-10 |
: 9781470461218 |
ISBN-13 |
: 1470461218 |
Rating |
: 4/5 (18 Downloads) |
Synopsis Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters by : Giao Ky Duong
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