Local Coefficients and Gamma Factors for Principal Series of Covering Groups

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ISBN 13 : 9781470474003
Total Pages : 0 pages
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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.

Local Coefficients and Gamma Factors for Principal Series of Covering Groups

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Publisher : American Mathematical Society
ISBN 13 : 1470456818
Total Pages : 148 pages
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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 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.

Geometry, Algebra, Number Theory, and Their Information Technology Applications

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Publisher : Springer
ISBN 13 : 3319973797
Total Pages : 528 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Geometry, Algebra, Number Theory, and Their Information Technology Applications by : Amir Akbary

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Unitarizability in Corank Three for Classical $p$-adic Groups

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Publisher : American Mathematical Society
ISBN 13 : 1470462834
Total Pages : 134 pages
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Book Synopsis Unitarizability in Corank Three for Classical $p$-adic Groups by : Marko Tadi?

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Representation Theory of Geigle-Lenzing Complete Intersections

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Publisher : American Mathematical Society
ISBN 13 : 1470456311
Total Pages : 156 pages
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Book Synopsis Representation Theory of Geigle-Lenzing Complete Intersections by : Martin Herschend

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Congruence Lattices of Ideals in Categories and (Partial) Semigroups

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Publisher : American Mathematical Society
ISBN 13 : 1470462699
Total Pages : 144 pages
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Book Synopsis Congruence Lattices of Ideals in Categories and (Partial) Semigroups by : James East

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Twistors, Quartics,and del Pezzo Fibrations

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Publisher : American Mathematical Society
ISBN 13 : 1470464128
Total Pages : 148 pages
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Book Synopsis Twistors, Quartics,and del Pezzo Fibrations by : Nobuhiro Honda

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Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation

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Publisher : American Mathematical Society
ISBN 13 : 1470459930
Total Pages : 254 pages
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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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The Classification of Subfactors with Index at Most $5 frac {1}{4}$

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Publisher : American Mathematical Society
ISBN 13 : 1470447126
Total Pages : 94 pages
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Book Synopsis The Classification of Subfactors with Index at Most $5 frac {1}{4}$ by : Narjess Afzaly

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Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters

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Publisher : American Mathematical Society
ISBN 13 : 1470461218
Total Pages : 104 pages
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Book Synopsis Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters by : Giao Ky Duong

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On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability

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Publisher : American Mathematical Society
ISBN 13 : 147046120X
Total Pages : 140 pages
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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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Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity

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Publisher : American Mathematical Society
ISBN 13 : 1470461196
Total Pages : 138 pages
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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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The Representation Theory of the Increasing Monoid

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Publisher : American Mathematical Society
ISBN 13 : 1470465469
Total Pages : 148 pages
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Book Synopsis The Representation Theory of the Increasing Monoid by : Sema Güntürkün

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Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture

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Publisher : American Mathematical Society
ISBN 13 : 1470464160
Total Pages : 154 pages
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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

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Spiral Waves: Linear and Nonlinear Theory

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Publisher : American Mathematical Society
ISBN 13 : 1470463091
Total Pages : 116 pages
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Book Synopsis Spiral Waves: Linear and Nonlinear Theory by : Björn Sandstede

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Deformation and Unobstructedness of Determinantal Schemes

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Publisher : American Mathematical Society
ISBN 13 : 1470463113
Total Pages : 126 pages
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Book Synopsis Deformation and Unobstructedness of Determinantal Schemes by : Jan O. Kleppe

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A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations

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Publisher : American Mathematical Society
ISBN 13 : 147045632X
Total Pages : 106 pages
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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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