منابع مشابه
Morita’s Theory for the Symplectic Groups
We construct and study the holomorphic discrete series representation and the principal series representation of the symplectic group Sp(2n, F) over a p-adic field F as well as a duality between some sub-representations of these two representations. The constructions of these two representations generalize those defined in Morita and Murase’s works. Moreover, Morita built a duality for SL(2, F)...
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The descent set of an oscillating (or up-down) tableau is introduced. This descent set plays the same role in the representation theory of the symplectic groups as the descent set of a standard tableau plays in the representation theory of the general linear groups. In particular, we show that the descent set is preserved by Sundaram's correspondence. This gives a direct combinatorial interpret...
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2011
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042111004952