ON DOUBLING CONSTRUCTION FOR REAL UNITARY DUAL PAIRS
نویسندگان
چکیده
منابع مشابه
Orbit Correspondences for Real Reductive Dual Pairs
Suppose that V ,W be a symplectic space and a quadratic space respectively over R. Let g1,g2 be the Lie algebras of the groups of isometries of two spaces. Let τi :V ⊗RW → gi be the moment maps and O be the closure of a nilpotent orbit O in gi for i = 1 or 2. In this paper we show that τ3−i (τ −1 i (O )) is a union of at most two closures of nilpotent orbits in g3−i .
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2007
ISSN: 1340-6116
DOI: 10.2206/kyushujm.61.35