The exotic nilcone of a symplectic group
نویسندگان
چکیده
منابع مشابه
An exotic nilpotent cone for symplectic group
Let G be a complex symplectic group. We construct a certain Gvariety N, which shares many nice properties with the nilpotent cone of G. For example, it is normal, has finitely many G-orbits, and admits a G-equivariant resolution of singularity in a similar way to the Springer resolution. Our new G-variety admits an action of G× C × C instead of the G×C-action on the nilpotent cone. This enables...
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Let G = Sp(2n,C) be a complex symplectic group. In the companion paper [math.AG/0601154], we introduced a (G × C × C)-variety N, which we call the exotic nilpotent cone. In this paper, we realize the Hecke algebra H of type C n with unequal parameters via equivariant algebraic K-theory in terms of the geometry of N. This enables us to establish a Deligne-Langlands type classification of “non-cr...
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we examine the symplectic group $sp_{2m}(q)$ and its correspondingaffine subgroup. we construct the affine subgroup and show that itis a split extension. as an illustration of the above we study theaffine subgroup $2^5{:}sp_4(2)$ of the group $sp_6(2)$.
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Let G be a complex symplectic group. In [K1], we singled out the nilpotent cone N of some reducible G-module, which we call the (1-) exotic nilpotent cone. In this paper, we study the set of G-orbits of the variety N. It turns out that the variety N gives a variant of the Springer correspondence for Weyl groups of type C, but shares a similar flavor with that of type A case. (I.e. there appears...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.08.013