Let E/F be a quadratic extension of p-adic fields. We compute the multiplicity of the space of SL2(F )-invariant linear forms on a representation of SL2(E). This multiplicity varies inside an L-packet similar in spirit to the multiplicity formula for automorphic representations due to Labesse and Langlands.

We prove a generalization and give a new proof of a theorem of Borel-Harish-Chandra on closed orbits of linear actions of reductive groups. Consider a real reductive algebraic group G acting linearly and rationally on a real vector space V . G can be viewed as the real points of a complex reductive group G C which acts on V C := V ⊗ C. In [BHC62] it was shown that G · v ∩ V is a finite union of...

Cop accepted J School of and repri ins Scho mi.edu). uropean S rition and patology, a 00000000 athleen ‘‘Kay’’ J. Motil, MD, PhD, embodies the K spirit of the NASPGHAN Distinguished Service award. She has worked tirelessly to improve the lives of the children and built a distinguished career within the realm of pediatric gastroenterology and nutrition. She completed her undergraduate education ...