THE FULL SET OF UNITARIZABLE HIGHEST WEIGHT MODULES OF BASIC CLASSICAL LIE-SUPERALGEBRAS

被引：0
|
作者：
JAKOBSEN, HP
机构：
来源：
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 111卷 / 532期
关键词：
LIE SUPERALGEBRAS; CLASSICAL SUPERALGEBRAS; UNITARITY; HIGHEST WEIGHT REPRESENTATIONS; CLASSIFICATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This manuscript contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras, unitarity being defined in the superalgebraic sense. The algebras are over C, and it is a part of the classification to determine which real forms, defined by anti-linear anti-involutions, may occur.
引用
收藏
页码：R3 / &
相关论文
共 50 条
  • [41] Unitarizable Highest Weight Modules of the N=2 Super Virasoro Algebras: Untwisted Sectors
    Iohara, Kenji
    LETTERS IN MATHEMATICAL PHYSICS, 2010, 91 (03) : 289 - 305
  • [42] A NEW CLASS OF UNITARIZABLE HIGHEST WEIGHT REPRESENTATIONS OF INFINITE DIMENSIONAL LIE-ALGEBRAS
    JAKOBSEN, HP
    KAC, VG
    LECTURE NOTES IN PHYSICS, 1985, 226 : 1 - 20
  • [43] Unitarizable Highest Weight Modules of the N = 2 Super Virasoro Algebras: Untwisted Sectors
    Kenji Iohara
    Letters in Mathematical Physics, 2010, 91 : 289 - 305
  • [44] Finite weight modules over twisted affine Lie superalgebras
    Yousofzadeh, Malihe
    JOURNAL OF ALGEBRA, 2020, 564 : 436 - 479
  • [45] Unitarizable highest weight modules over the twisted sector of the N=2 super Virasoro algebra
    Iohara, Kenji
    ANNALES DE L INSTITUT FOURIER, 2008, 58 (03) : 733 - 754
  • [46] 2-Local Automorphisms on Basic Classical Lie Superalgebras
    Li Yu
    Ying Wang
    Hai Xian Chen
    Ji Zhu Nan
    Acta Mathematica Sinica, English Series, 2019, 35 : 427 - 437
  • [47] Support varieties and representation types for basic classical Lie superalgebras
    Liu, Gongxiang
    JOURNAL OF ALGEBRA, 2012, 362 : 157 - 177
  • [48] 2-Local Automorphisms on Basic Classical Lie Superalgebras
    Li YU
    Ying WANG
    Hai Xian CHEN
    Ji Zhu NAN
    Acta Mathematica Sinica,English Series, 2019, (03) : 427 - 437
  • [49] 2-Local Superderivations on Basic Classical Lie Superalgebras
    Ying WANG
    Haixian CHEN
    Jizhu NAN
    Journal of Mathematical Research with Applications, 2017, 37 (05) : 527 - 534
  • [50] 2-Local Automorphisms on Basic Classical Lie Superalgebras
    Li YU
    Ying WANG
    Hai Xian CHEN
    Ji Zhu NAN
    Acta Mathematica Sinica, 2019, 35 (03) : 427 - 437
12345