Degree-One Rational Cherednik Algebras for the Symmetric Group

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Authors: Foster-Greenwood, Briana, Kriloff, Cathy
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211310
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Degree-One Rational Cherednik Algebras for the Symmetric Group. Briana Foster-Greenwood and Cathy Kriloff. SIGMA 17 (2021), 039, 35 pages

Drinfeld orbifold algebras deform skew group algebras in polynomial degree at most one and hence encompass graded Hecke algebras, and in particular symplectic reflection algebras and rational Cherednik algebras. We introduce parametrized families of Drinfeld orbifold algebras for symmetric groups ac...