VARGAS jorge Antonio
congresos y reuniones científicas
Associated symmetric pair and multiplicities of admissible restriction of Discrete Series.
VARGAS, JORGE A.
Congreso; XIX coloquio latinoamericano de algebra; 2012
Let (G;H) be a symmetric pair for a real semisimple Lie group G and (G;H0) theassociated pair. For each irreducible square integrable representation of G so that itsrestriction to H is admissible, we find an irreducible square integrable representation0 of H0 which allows to compute the Harish-Chandra parameter of each irreducibleHsubrepresentation of as well as its multiplicity. The computation is based on thespectral analysis of the restriction of 0 to a maximal compact subgroup of H0 and aconvenient branching law for the the lowest Ktype of :