Degree-One Rational Cherednik Algebras for the Symmetric Group

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Foster-Greenwood, Briana, Kriloff, Cathy
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211310
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...