A generalized Weil representation for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="italic">SL</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>, where <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>A</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="double-struck">F</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo stretchy="false">[</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">]</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mo stretchy="false">〈</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mi>m</mml:mi></mml:msup><mml:mo stretchy="false">〉</mml:mo></mml:math>-Reference-Cited by-同舟云学术

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A generalized Weil representation for SL∗(2,Am), where Am=Fq[x]/〈xm〉

Published:2009-07 Issue:1 Volume:322 Page:42-53
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Gutiérrez Frez Luis

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference9 articles.

1. Weil representations of symplectic groups over rings;Cliff;J. London Math. Soc.,2000

2. La Géométrie des Groupes Classiques;Dieudonné,1963

3. The exceptional representations of GL2;Kutzko;Compos. Math.,1984

4. The Weil Representation, Maslov Index and Theta Series;Lion,1980

5. A presentation of the group SL∗(2,A), A a simple artinian ring with involution;Pantoja;Manuscripta Math.,2006

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Weil representations of , q > 3 odd, via presentation and compatibility of methods;Communications in Algebra;2017-06-13

2. Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution;Symmetry, Integrability and Geometry: Methods and Applications;2015-09-26

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