## 15 Citations

### Geometric Weil representation in characteristic two

- MathematicsJournal of the Institute of Mathematics of Jussieu
- 2011

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

- Mathematics
- 2022

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…

### Commutative Nilpotent Closed Algebras and Weil Representations

- Mathematics
- 2015

Let 𝔽 be the field GF(q 2) of q 2 elements, q odd, and let V be an 𝔽-vector space endowed with a nonsingular Hermitian form ϕ. Let σ be the adjoint involutory antiautomorphism of End𝔽 V associated…

### Shimura correspondence for finite groups

- Mathematics
- 2012

Let G be a simply connected Chevalley group corresponding to an irreducible simply laced root system. Then the finite group G(Z/4Z) has a two fold central extension G(Z/4Z) realized as a Steinberg…

### Finite Quotients of Symplectic Groups VS Mapping Class Groups

- Mathematics
- 2011

We show that the Schur multiplier of Sp(2g,Z/DZ) is Z/2Z, when D is divisible by 4. We give several proofs of this statement, a first one using Deligne’s non-residual finiteness theorem and recent…

### Topological field theories on manifolds with Wu structures

- Mathematics
- 2016

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the…

### Isocategorical groups and their Weil representations

- Mathematics
- 2014

Two groups are called isocategorical over a field $k$ if their respective categories of $k$-linear representations are monoidally equivalent. We classify isocategorical groups over arbitrary fields,…

### FOR FINITE GROUPS

- Mathematics
- 2009

Let Q2s be the unique unramifed extension of the two-adic field Q2 of the degree s. Let R be the ring of integers in Q2s Let G be a simply connected Chevalley group corresponding to an irreducible…

### Covariant mutually unbiased bases

- Mathematics
- 2015

The connection between maximal sets of mutually unbiased bases (MUBs) in a prime-power dimensional Hilbert space and finite phase-space geometries is well known. In this article we classify MUBs…

## References

SHOWING 1-9 OF 9 REFERENCES

### On the character of Weil’s representation

- Mathematics
- 1973

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.…

### Paires duales réductives en caractéristique 2

- Mathematics
- 1991

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…

### Tata Lectures on Theta I

- Mathematics
- 1982

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

### Central extensions and reciprocity laws

- Mathematics
- 1997

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…

### Isocategorical groups

- Mathematics
- 2000

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

### E-mail address: hadani@math.uchicago.edu

- E-mail address: hadani@math.uchicago.edu