Center of infinitesimal Cherednik algebras of gl_n
Akaki Tikaradze
TL;DR
This paper proves that the center of infinitesimal Cherednik algebras of gl_n is a polynomial algebra, leading to new insights in their representation theory.
Contribution
It establishes an isomorphism between the center of these algebras and a polynomial algebra, a novel result in the field.
Findings
Center is isomorphic to a polynomial algebra in n variables
Derived consequences for the representation theory of these algebras
Enhanced understanding of the algebraic structure of infinitesimal Cherednik algebras
Abstract
We show that the center of infinitesimal Cherednik algebras of gl_n is isomorphic to the polynomial algebra in n variables. Based on this we derive consequences for representation theory of these algebras.
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
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology