(University of Hyderabad, 2018-01-08)
Sampath, Lonka; Tandon, Rajat
Let F be a non-Archimedean local eld of residue characteristic p. Consider a
division algebra D over F of index `, where ` is an odd prime and ` 6= p. Let
be an irreducible representation of D with trivial central character. Let K=F
be any eld extension of degree ` in D. We compute the complex dimension of
K - invariant vectors of as both and K vary.