The Weil Representation in Characteristic Two

  title={The Weil Representation in Characteristic Two},
  author={Shamgar Gurevich and Ronny Hadani},
  journal={arXiv: Representation Theory},

Geometric Weil representation in characteristic two

Abstract Let k be an algebraically closed field of characteristic two. Let R be the ring of Witt vectors of length two over k. We construct a group stack Ĝ over k, the metaplectic extension of the

Extended Weil representations by some twisted actions: the finite field cases

A BSTRACT . It is well known(cf. Weil, Gérardin’s works) that there are two different Weil representations of a symplectic group over an odd finite field. By a twisted action, we show that one can

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The importance of certain representations of symplectic groups, usually called Weil representations, for the general problem of finding representations of certain group extensions is made explicit.

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Over a local field of cliaracteristic 2, A.Weil has defined thé metaplectic group as an extension of a group called "pseudosymplectique". However, thé pairs of reductive subgroups {G^G') of this

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and motivation: theta functions in one variable.- Basic results on theta functions in several variables.

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Cet article developpe la theorie d'un groupe agissant sur un groupoide connexe. Une telle action donne lieu a une extension canonique du groupe. On demontre que toute extension de groupe est obtenue

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Isocategorical groups

It is well known that if two finite groups have the same symmetric tensor categories of representations over C, then they are isomorphic. We study the following question: when do two finite groups

E-mail address: shamgar@math.berkeley

  • E-mail address: shamgar@math.berkeley

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