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On a class of generalized Kac-Moody algebras arising from 2-fold affinizations
被引:1
作者
:
Gan, Huiling
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Gan, Huiling
[
1
]
Tan, Youjun
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Tan, Youjun
[
1
]
机构
:
[1]
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
来源
:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
|
2015年
/ 14卷
/ 10期
关键词
:
Generalized Kac-Moody algebras;
root system;
root multiplicities;
LIE-ALGEBRAS;
D O I
:
10.1142/S0219498815501376
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We study a class of generalized Kac-Moody algebras which are fixed point subalgebras of the covering Kac-Moody algebras of some generalized intersection matrix (GIM) algebras of Slodowy.
引用
收藏
页数:14
相关论文
共 9 条
[1]
ON GENERATORS AND RELATIONS FOR CERTAIN INVOLUTORY SUBALGEBRAS OF KAC-MOODY LIE-ALGEBRAS
BERMAN, S
论文数:
0
引用数:
0
h-index:
0
BERMAN, S
[J].
COMMUNICATIONS IN ALGEBRA,
1989,
17
(12)
: 3165
-
3185
[2]
LIE-ALGEBRAS GRADED BY FINITE ROOT SYSTEMS AND THE INTERSECTION MATRIX ALGEBRAS OF SLODOWY
BERMAN, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
BERMAN, S
MOODY, RV
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
MOODY, RV
[J].
INVENTIONES MATHEMATICAE,
1992,
108
(02)
: 323
-
347
[3]
GENERALIZED KAC-MOODY ALGEBRAS
BORCHERDS, R
论文数:
0
引用数:
0
h-index:
0
BORCHERDS, R
[J].
JOURNAL OF ALGEBRA,
1988,
115
(02)
: 501
-
512
[4]
Carter R.W., 2005, Lie Algebras of Finite and Affine Type
[5]
From Dynkin diagram symmetries to fixed point structures
Fuchs, J
论文数:
0
引用数:
0
h-index:
0
机构:
NIKHEF-H/FOM, NL - 1098 SJ Amsterdam
Fuchs, J
Schellekens, B
论文数:
0
引用数:
0
h-index:
0
机构:
NIKHEF-H/FOM, NL - 1098 SJ Amsterdam
Schellekens, B
Schweigert, C
论文数:
0
引用数:
0
h-index:
0
机构:
NIKHEF-H/FOM, NL - 1098 SJ Amsterdam
Schweigert, C
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1996,
180
(01)
: 39
-
97
[6]
KAC V. G., 1990, INFINITE DIMENSIONAL, VThird, DOI DOI 10.1017/CBO9780511626234
[7]
ON GENERALIZED INTERSECTION MATRIX ALGEBRAS ARISING FROM 2-FOLD AFFINIZATION OF CARTAN MATRICES
Lv, Rui
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Lv, Rui
Tan, Youjun
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Tan, Youjun
[J].
COMMUNICATIONS IN ALGEBRA,
2013,
41
(07)
: 2543
-
2563
[8]
Shi, 1992, NOVA J ALGEBRA GEOME, V1, P317
[9]
Slodowy P., 1986, CMS C P, V5, P361
←
1
→
共 9 条
[1]
ON GENERATORS AND RELATIONS FOR CERTAIN INVOLUTORY SUBALGEBRAS OF KAC-MOODY LIE-ALGEBRAS
BERMAN, S
论文数:
0
引用数:
0
h-index:
0
BERMAN, S
[J].
COMMUNICATIONS IN ALGEBRA,
1989,
17
(12)
: 3165
-
3185
[2]
LIE-ALGEBRAS GRADED BY FINITE ROOT SYSTEMS AND THE INTERSECTION MATRIX ALGEBRAS OF SLODOWY
BERMAN, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
BERMAN, S
MOODY, RV
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
MOODY, RV
[J].
INVENTIONES MATHEMATICAE,
1992,
108
(02)
: 323
-
347
[3]
GENERALIZED KAC-MOODY ALGEBRAS
BORCHERDS, R
论文数:
0
引用数:
0
h-index:
0
BORCHERDS, R
[J].
JOURNAL OF ALGEBRA,
1988,
115
(02)
: 501
-
512
[4]
Carter R.W., 2005, Lie Algebras of Finite and Affine Type
[5]
From Dynkin diagram symmetries to fixed point structures
Fuchs, J
论文数:
0
引用数:
0
h-index:
0
机构:
NIKHEF-H/FOM, NL - 1098 SJ Amsterdam
Fuchs, J
Schellekens, B
论文数:
0
引用数:
0
h-index:
0
机构:
NIKHEF-H/FOM, NL - 1098 SJ Amsterdam
Schellekens, B
Schweigert, C
论文数:
0
引用数:
0
h-index:
0
机构:
NIKHEF-H/FOM, NL - 1098 SJ Amsterdam
Schweigert, C
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1996,
180
(01)
: 39
-
97
[6]
KAC V. G., 1990, INFINITE DIMENSIONAL, VThird, DOI DOI 10.1017/CBO9780511626234
[7]
ON GENERALIZED INTERSECTION MATRIX ALGEBRAS ARISING FROM 2-FOLD AFFINIZATION OF CARTAN MATRICES
Lv, Rui
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Lv, Rui
Tan, Youjun
论文数:
0
引用数:
0
h-index:
0
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Tan, Youjun
[J].
COMMUNICATIONS IN ALGEBRA,
2013,
41
(07)
: 2543
-
2563
[8]
Shi, 1992, NOVA J ALGEBRA GEOME, V1, P317
[9]
Slodowy P., 1986, CMS C P, V5, P361
←
1
→