INFINITESIMAL CHEREDNIK ALGEBRAS AS W-ALGEBRAS

被引：6
|
作者：
Losev, I. [1 ]
Tsymbaliuk, A. [2 ]
机构：
[1] Northeastern Univ, Dept Math, Boston, MA 02115 USA
[2] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
TRANSFORMATION GROUPS | 2014年 / 19卷 / 02期
基金：
美国国家科学基金会;
关键词：
SLODOWY SLICES; REPRESENTATIONS;
D O I：
10.1007/s00031-014-9261-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we establish an isomorphism between universal infinitesimal Cherednik algebras and W-algebras for Lie algebras of the same type and 1-block nilpotent elements. As a consequence we obtain some fundamental results about infinitesimal Cherednik algebras.
引用
收藏
页码：495 / 526
页数：32
相关论文
共 50 条
  • [1] INFINITESIMAL CHEREDNIK ALGEBRAS AS W-ALGEBRAS
    I. LOSEV
    A. TSYMBALIUK
    [J]. Transformation Groups, 2014, 19 : 495 - 526
  • [2] REPRESENTATIONS OF INFINITESIMAL CHEREDNIK ALGEBRAS
    Ding, Fengning
    Tsymbaliuk, Alexander
    [J]. REPRESENTATION THEORY, 2013, 17 : 557 - 583
  • [3] Cherednik algebras, W-algebras and the equivariant cohomology of the moduli space of instantons on A2
    O. Schiffmann
    E. Vasserot
    [J]. Publications mathématiques de l'IHÉS, 2013, 118 : 213 - 342
  • [4] Cherednik algebras, W-algebras and the equivariant cohomology of the moduli space of instantons on A2
    Schiffmann, O.
    Vasserot, E.
    [J]. PUBLICATIONS MATHEMATIQUES DE L IHES, 2013, (118): : 213 - 342
  • [5] W-algebras
    ORaifeartaigh, L
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1997, 52 (1-2): : 79 - 85
  • [6] Hopf-Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology
    Flake, Johannes
    Sahi, Siddhartha
    [J]. PURE AND APPLIED MATHEMATICS QUARTERLY, 2021, 17 (04) : 1549 - 1597
  • [7] W-algebras as coset vertex algebras
    Arakawa, Tomoyuki
    Creutzig, Thomas
    Linshaw, Andrew R.
    [J]. INVENTIONES MATHEMATICAE, 2019, 218 (01) : 145 - 195
  • [8] W-algebras as coset vertex algebras
    Tomoyuki Arakawa
    Thomas Creutzig
    Andrew R. Linshaw
    [J]. Inventiones mathematicae, 2019, 218 : 145 - 195
  • [9] W-algebras related to parafermion algebras
    Dong, Chongying
    Lam, Ching Hung
    Yamada, Hiromichi
    [J]. JOURNAL OF ALGEBRA, 2009, 322 (07) : 2366 - 2403
  • [10] Urod algebras and Translation of W-algebras
    Arakawa, Tomoyuki
    Creutzig, Thomas
    Feigin, Boris
    [J]. FORUM OF MATHEMATICS SIGMA, 2022, 10
12345