71 research outputs found
Geometric Schur Duality of Classical Type, II
We establish algebraically and geometrically a duality between the
Iwahori-Hecke algebra of type D and two new quantum algebras arising from the
geometry of N-step isotropic flag varieties of type D. This duality is a type D
counterpart of the Schur-Jimbo duality of type A and the Schur-like duality of
type B/C discovered by Bao-Wang. The new algebras play a role in the type D
duality similar to the modified quantum gl(N) in type A, and the modified
coideal subalgebras of quantum gl(N) in type B/C. We construct canonical bases
for these two algebras.Comment: 40 page
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