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Local Coefficients And Gamma Factors For Principal Series Of Covering Groups
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Book Synopsis Local Coefficients and Gamma Factors for Principal Series of Covering Groups by : Fan Gao
Download or read book Local Coefficients and Gamma Factors for Principal Series of Covering Groups written by Fan Gao and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Local Coefficients and Gamma Factors for Principal Series of Covering Groups by : Fan Gao
Download or read book Local Coefficients and Gamma Factors for Principal Series of Covering Groups written by Fan Gao and published by American Mathematical Society. This book was released on 2023-03-10 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Geometry, Algebra, Number Theory, and Their Information Technology Applications by : Amir Akbary
Download or read book Geometry, Algebra, Number Theory, and Their Information Technology Applications written by Amir Akbary and published by Springer. This book was released on 2018-09-18 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Unitarizability in Corank Three for Classical $p$-adic Groups by : Marko Tadi?
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Book Synopsis Representation Theory of Geigle-Lenzing Complete Intersections by : Martin Herschend
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Book Synopsis Congruence Lattices of Ideals in Categories and (Partial) Semigroups by : James East
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Book Synopsis Twistors, Quartics,and del Pezzo Fibrations by : Nobuhiro Honda
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Book Synopsis Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation by : Mohandas Pillai
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Book Synopsis The Classification of Subfactors with Index at Most $5 frac {1}{4}$ by : Narjess Afzaly
Download or read book The Classification of Subfactors with Index at Most $5 frac {1}{4}$ written by Narjess Afzaly and published by American Mathematical Society. This book was released on 2023-04-07 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters by : Giao Ky Duong
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Book Synopsis On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability by : Kihyun Kim
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Book Synopsis Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity by : Nassif Ghoussoub
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Book Synopsis The Representation Theory of the Increasing Monoid by : Sema Güntürkün
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Book Synopsis Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture by : Rafael von Känel
Download or read book Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture written by Rafael von Känel and published by American Mathematical Society. This book was released on 2023-06-22 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Spiral Waves: Linear and Nonlinear Theory by : Björn Sandstede
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Book Synopsis Deformation and Unobstructedness of Determinantal Schemes by : Jan O. Kleppe
Download or read book Deformation and Unobstructedness of Determinantal Schemes written by Jan O. Kleppe and published by American Mathematical Society. This book was released on 2023-06-22 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations by : Philipp Grohs
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