Mathematics – Number Theory
Scientific paper
2011-07-31
Mathematics
Number Theory
Scientific paper
To a finite quadratic module, that is, a finite abelian group D together with a non-singular quadratic form Q:D --> Q/Z, it is possible to associate a representation of either the modular group, SL(2,Z), or its metaplectic cover, Mp(2,Z), on C[D], the group algebra of D. This representation is usually called the Weil representation associated to the finite quadratic module. The main result of this paper is a general explicit formula for the matrix coefficients of this representation. The formula, which involves the p-adic invariants of the quadratic module, is given in a way which is easy to implement on a computer. The result presented completes an earlier result by Scheithauer for the Weil representation associated to a discriminant form of even signature.
Strömberg Fredrik
No associations
LandOfFree
Weil representations associated to finite quadratic modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Weil representations associated to finite quadratic modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weil representations associated to finite quadratic modules will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-514293