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arXiv · 1408.6740

Geometric Schur Duality of Classical Type, II

Zhaobing Fan·Yiqiang Li
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Abstract

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.

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Zhaobing Fan, Yiqiang Li. 2014-08-28. Geometric Schur Duality of Classical Type, II. https://arxiv.org/abs/1408.6740

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