ON RATIONALITY OF W-ALGEBRAS

被引:47
|
作者
Kac, Victor G. [1 ]
Wakimoto, Minoru [1 ]
机构
[1] MIT, Dept Math, Cambridge, MA 02139 USA
关键词
D O I
10.1007/s00031-008-9028-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the problem of classification of triples (g, f, k), where g is a simple Lie algebra, f its nilpotent element and k epsilon C, for which the simple W-algebra W-k(g, f) is rational.
引用
收藏
页码:671 / 713
页数:43
相关论文
共 50 条
  • [41] SEMIINFINITE COHOMOLOGY OF W-ALGEBRAS
    BOUWKNEGT, P
    MCCARTHY, J
    PILCH, K
    LETTERS IN MATHEMATICAL PHYSICS, 1993, 29 (02) : 91 - 102
  • [42] Lectures on classical W-algebras
    Dickey, LA
    ACTA APPLICANDAE MATHEMATICAE, 1997, 47 (03) : 243 - 321
  • [43] Subregular W-algebras of type A
    Fehily, Zachary
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023, 25 (09)
  • [44] The ABCDEFG of instantons and W-algebras
    Christoph A. Keller
    Noppadol Mekareeya
    Jaewon Song
    Yuji Tachikawa
    Journal of High Energy Physics, 2012
  • [45] W-algebras at the critical level
    Arakawa, Tomoyuki
    ALGEBRAIC GROUPS AND QUANTUM GROUPS, 2012, 565 : 1 - 13
  • [46] Localization of Affine W-Algebras
    Arakawa, T.
    Kuwabara, T.
    Malikov, F.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 335 (01) : 143 - 182
  • [47] Localization for affine W-algebras
    Dhillon, Gurbir
    Raskin, Sam
    ADVANCES IN MATHEMATICS, 2023, 413
  • [48] THE CLASSICAL LIMIT OF W-ALGEBRAS
    FIGUEROAOFARRILL, JM
    RAMOS, E
    PHYSICS LETTERS B, 1992, 282 (3-4) : 357 - 364
  • [49] Quiver elliptic W-algebras
    Kimura, Taro
    Pestun, Vasily
    LETTERS IN MATHEMATICAL PHYSICS, 2018, 108 (06) : 1383 - 1405
  • [50] W-algebras and Whittaker categories
    Raskin, Sam
    SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (03):