A geometric construction of generalized q-Schur algebras
Stephen Doty, Yiqiang Li
TL;DR
This paper provides a geometric construction of generalized q-Schur algebras of types A, D, and E, linking algebraic and geometric approaches and offering a parameterization of Nakajima's Lagrangian quiver varieties.
Contribution
It demonstrates that certain algebras are indeed generalized q-Schur algebras and constructs these algebras geometrically for types A, D, and E.
Findings
Identifies algebras from previous work as generalized q-Schur algebras
Provides a geometric construction for these algebras in types A, D, and E
Offers a parameterization of Nakajima's Lagrangian quiver variety of type D
Abstract
We show that the algebras constructed in [Li10] and [Li12] are generalized q-Schur algebras as defined in [D03]. This provides a geometric construction of generalized q-Schur algebras in types A, D and E. We give a parameterization of Nakajima's Lagrangian quiver variety of type D associated to a certain highest weight.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Topics in Algebra