Good gradings of basic Lie superalgebras

被引：19
|
作者：
Hoyt, Crystal [1 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2012年 / 192卷 / 01期
关键词：
REPRESENTATION-THEORY; QUANTUM REDUCTION;
D O I：
10.1007/s11856-012-0023-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify good a"currency sign-gradings of basic Lie superalgebras over an algebraically closed field of characteristic zero. Good a"currency sign-gradings are used in quantum Hamiltonian reduction for affine Lie superalgebras, where they play a role in the construction of super W-algebras. We also describe the centralizer of a nilpotent even element and of an -triple in and .
引用
收藏
页码：251 / 280
页数：30
相关论文
共 50 条
  • [1] Good gradings of basic Lie superalgebras
    Crystal Hoyt
    Israel Journal of Mathematics, 2012, 192 : 251 - 280
  • [2] Parabolic subalgebras and gradings of reductive Lie superalgebras
    Ivanova N.I.
    Onishchik A.L.
    Journal of Mathematical Sciences, 2008, 152 (1) : 1 - 60
  • [3] FINE GRADINGS ON EXCEPTIONAL SIMPLE LIE SUPERALGEBRAS
    Draper, Cristina
    Elduque, Alberto
    Martin Gonzalez, Candido
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 22 (12) : 1823 - 1855
  • [4] Group gradings on exceptional simple Lie superalgebras
    Argenti, Sebastiano
    Kochetov, Mikhail
    Yasumura, Felipe
    JOURNAL OF ALGEBRA, 2025, 668 : 447 - 490
  • [5] Group gradings on the filiform Lie superalgebras Lm,n
    Xie, Wenjuan
    Liu, Wende
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [6] Pauli gradings on Lie superalgebras and graded codimension growth
    Repovs, Dusan D.
    Zaicev, Mikhail V.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 520 : 134 - 150
  • [7] Group gradings on the Lie and Jordan superalgebras Q(n)
    Bahturin, Yuri
    Dos Santos, Helen Samara
    Hornhardt, Caio De Naday
    Kochetov, Mikhail
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (05) : 1914 - 1925
  • [8] Centralizers of Nilpotent Elements in Basic Classical Lie Superalgebras in Good Characteristic
    Han, Leyu
    TRANSFORMATION GROUPS, 2023,
  • [9] Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras
    Xie, Wenjuan
    Liu, Wende
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 170
  • [10] Finite W-superalgebras for basic Lie superalgebras
    Zeng, Yang
    Shu, Bin
    JOURNAL OF ALGEBRA, 2015, 438 : 188 - 234
12345