Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585111 | Journal of Algebra | 2013 | 27 Pages |
Abstract
We find all irreducible constituents of the Weil representation of a unitary group Um(A)Um(A) of rank m associated to a ramified quadratic extension A of a finite, commutative, local and principal ring R of odd characteristic. We show that this Weil representation is multiplicity free with monomial irreducible constituents. We also find the number of these constituents and describe them in terms of Clifford theory with respect to a congruence subgroup. We find all character degrees in the special case when R is a field.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Allen Herman, Fernando Szechtman,