CLOSED ORBITS ON PARTIAL FLAG VARIETIES AND DOUBLE FLAG VARIETY OF FINITE TYPE
نویسندگان
چکیده
منابع مشابه
Regular Orbits of Symmetric Subgroups on Partial Flag Varieties
The main result of the current paper is a new parametrization of the orbits of a symmetric subgroup K on a partial flag variety P . The parametrization is in terms of certain Spaltenstein varieties, on one hand, and certain nilpotent orbits, on the other. One of our motivations, as explained below, is related to enumerating special unipotent representations of real reductive groups. Another mot...
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We classify all products of flag varieties with finitely many orbits under the diagonal action of the general linear group. We also classify the orbits in each case and construct explicit representatives.
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Problem: Given a reductive algebraic group G, find all k-tuples of parabolic subgroups (P1, . . . , Pk) such that the product of flag varieties G/P1 × · · · ×G/Pk has finitely many orbits under the diagonal action of G. In this case we call G/P1× · · · ×G/Pk a multiple flag variety of finite type. In this paper, we solve this problem for the symplectic group G = Sp2n. We also give a complete en...
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We describe a partition of the double flag variety G/B×G/B of a complex semisimple algebraic group G analogous to the Deodhar partition on the flag variety G/B . This partition is a refinement of the stratification into orbits both for B ×B− and for the diagonal action of G , just as Deodhar’s partition refines the orbits of B and B− . We give a coordinate system on each stratum, and show that ...
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Staggered t-structures are a class of t-structures on derived categories of equivariant coherent sheaves. In this note, we show that the derived category of coherent sheaves on a partial flag variety, equivariant for a Borel subgroup, admits an artinian staggered t-structure. As a consequence, we obtain a basis for its equivariant K-theory consisting of simple staggered sheaves. Let X be a vari...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2014
ISSN: 1340-6116,1883-2032
DOI: 10.2206/kyushujm.68.113