Grobner-Shirshov Bases for Exceptional Lie Superalgebras

被引：1
|
作者：
Lee, Dong-il [1 ]
机构：
[1] Seoul Womens Univ, Dept Math, Seoul 139774, South Korea
来源：
ALGEBRA COLLOQUIUM | 2015年 / 22卷 / 01期
关键词：
Grobner-Shirshov basis; Lie superalgebra; super-Lyndon-Shirshov monomial; CASTELNUOVO-MUMFORD REGULARITY; ALGEBRAS; REPRESENTATIONS; RING;
D O I：
10.1142/S1005386715000024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For exceptional Lie superalgebras D(2, 1; alpha), G(3) and F(4), Grobner-Shirshov bases and the corresponding super-Lyndon-Shirshov monomial bases are constructed.
引用
收藏
页码：1 / 10
页数：10
相关论文
共 50 条
  • [1] Grobner-Shirshov bases for exceptional Lie algebras I
    Borkut, LA
    Klein, AA
    JOURNAL OF PURE AND APPLIED ALGEBRA, 1998, 133 (1-2) : 51 - 57
  • [2] Grobner-Shirshov bases for Lie superalgebras and their universal enveloping algebras
    Bokut, LA
    Kang, SJ
    Lee, KH
    Malcolmson, P
    JOURNAL OF ALGEBRA, 1999, 217 (02) : 461 - 495
  • [3] Grobner-Shirshov bases theory for Leibniz superalgebras
    Bai, Yuxiu
    Chen, Yuqun
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (08) : 3524 - 3542
  • [4] Grobner-Shirshov bases for metabelian Lie algebras
    Chen, Yongshan
    Chen, Yuqun
    JOURNAL OF ALGEBRA, 2012, 358 : 143 - 161
  • [5] Grobner-Shirshov bases for some Lie algebras
    Chen, Yu.
    Li, Y.
    Tang, Q.
    SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (01) : 176 - 182
  • [6] GROBNER-SHIRSHOV BASES OF THE LIE ALGEBRA Dn+
    Koryukin, A. N.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2011, 22 (04) : 573 - 614
  • [7] GROBNER-SHIRSHOV BASES OF THE LIE ALGEBRA Bn+
    Koryukin, A. N.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2009, 20 (01) : 65 - 94
  • [8] Parametrized Grobner-Shirshov bases
    Kalorkoti, K.
    Stanciu, I.
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (05) : 1996 - 2017
  • [9] Grobner-Shirshov bases for semirings
    Bokut, L. A.
    Chen, Yuqun
    Mo, Qiuhui
    JOURNAL OF ALGEBRA, 2013, 385 : 47 - 63
  • [10] GROBNER-SHIRSHOV BASES FOR DIALGEBRAS
    Bokut, L. A.
    Chen, Yuqun
    Liu, Cihua
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2010, 20 (03) : 391 - 415
12345