REVIEW 1 cited by
An exotic Springer correspondence for symplectic groups
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
This paper is a sequel to math.RT/0601155. Let G be a complex symplectic group. In math.RT/0601155, we constructed a certain G-variety N = N_1, 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 the Weyl group of type C, but shares a similar flavor with that of type A case. (I.e. there appears no non-trivial local system and the correspondence is bijective.) As an application, we present one sufficient condition for the bijectivity of our exotic Deligne-Langlands correspondence [K1].
Forward citations
Cited by 1 Pith paper
-
Irreducible components of two-column $\Delta$-Springer fibers
Every irreducible component of the Delta-Springer fiber Y_{n,n-1}, and every intersection of components, is a smooth iterated Grassmannian bundle, with explicit cohomology presentations and a Dyck-path Poincare polyno...
Discussion (0). Continue with ORCID to comment.