Article ID Journal Published Year Pages File Type
4586351 Journal of Algebra 2011 20 Pages PDF
Abstract

In this paper, we obtain a classification of irreducible strongly positive square-integrable genuine representations of metaplectic groups over p-adic fields, using a purely algebraic approach. Our results parallel those of Mœglin and Tadić for classical groups, but their work relies on certain conjectures. On the other hand, our results are complete and there are no additional conditions or hypotheses. The important point to note here is that our results and techniques can be used in the case of classical p-adic groups in a completely analogous manner.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory