Branching rules for supercuspidal representations of SL2(k), for k a p-adic field

作者：Nevins Monica^*

来源：Journal of Algebra, 2013, 377: 204-231.

DOI：10.1016/j.jalgebra.2012.12.003

• Representation theory of p-adic groups
• Supercuspidal representations
• Branching rules
• Maximal compact subgroups of p-adic groups

The restriction of a supercuspidal representation of SL2(k) to a maximal compact subgroup decomposes as a multiplicity-free direct sum of irreducible representations. We explicitly describe this decomposition, and determine how the spectrum of this decomposition varies as a function of the parameters describing the supercuspidal representation.

• 出版日期2013-3-1