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The degeneracy of extended affine Lie algebras
被引:5
作者
:
Gao, Y
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany
Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany
Gao, Y
[
1
]
机构
:
[1]
Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany
[2]
Yale Univ, Dept Math, New Haven, CT 06520 USA
来源
:
MANUSCRIPTA MATHEMATICA
|
1998年
/ 97卷
/ 02期
关键词
:
D O I
:
10.1007/s002290050099
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We construct degenerate extended affine Lie algebras from a given nondegenerate extended affine Lie algebra and show that all degenerate extended affine Lie algebras are obtained in this way.
引用
收藏
页码:233 / 249
页数:17
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Lie algebras graded by finite root systems and intersection matrix algebras
[J].
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INVENTIONES MATHEMATICAE,
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.
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THE ALTERNATIVE TORUS AND THE STRUCTURE OF ELLIPTIC QUASI-SIMPLE LIE-ALGEBRAS OF TYPE A(2)
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Quantum tori and the structure of elliptic quasi-simple Lie algebras
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CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
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Centre de Physique Théorique, CNRS - Luminy - Case 907
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[J].
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2
→
共 11 条
[1]
A characterization of affine Kac-Moody lie algebras
[J].
Allison, BN
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
Allison, BN
;
Berman, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
Berman, S
;
Gao, Y
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
Gao, Y
;
Pianzola, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
Pianzola, A
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1997,
185
(03)
:671
-688
[2]
ALLISON BN, 1997, MEM AM MATH SOC, V126, P605
[3]
Lie algebras graded by finite root systems and intersection matrix algebras
[J].
Benkart, G
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Wisconsin, Madison
Benkart, G
;
Zelmanov, E
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Wisconsin, Madison
Zelmanov, E
.
INVENTIONES MATHEMATICAE,
1996,
126
(01)
:1
-45
[4]
LIE-ALGEBRAS GRADED BY FINITE ROOT SYSTEMS AND THE INTERSECTION MATRIX ALGEBRAS OF SLODOWY
[J].
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
.
INVENTIONES MATHEMATICAE,
1992,
108
(02)
:323
-347
[5]
THE ALTERNATIVE TORUS AND THE STRUCTURE OF ELLIPTIC QUASI-SIMPLE LIE-ALGEBRAS OF TYPE A(2)
[J].
BERMAN, S
论文数:
0
引用数:
0
h-index:
0
机构:
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
BERMAN, S
;
GAO, Y
论文数:
0
引用数:
0
h-index:
0
机构:
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
GAO, Y
;
KRYLYUK, Y
论文数:
0
引用数:
0
h-index:
0
机构:
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
KRYLYUK, Y
;
NEHER, E
论文数:
0
引用数:
0
h-index:
0
机构:
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
NEHER, E
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1995,
347
(11)
:4315
-4363
[6]
Quantum tori and the structure of elliptic quasi-simple Lie algebras
[J].
Berman, S
论文数:
0
引用数:
0
h-index:
0
机构:
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
Berman, S
;
Gao, Y
论文数:
0
引用数:
0
h-index:
0
机构:
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
Gao, Y
;
Krylyuk, YS
论文数:
0
引用数:
0
h-index:
0
机构:
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
CHERNIVTSI STATE UNIV,DEPT MATH,CHERNOVTSY 274012,UKRAINE
Krylyuk, YS
.
JOURNAL OF FUNCTIONAL ANALYSIS,
1996,
135
(02)
:339
-389
[7]
CENTRAL EXTENSIONS OF CURRENT GROUPS IN 2 DIMENSIONS
[J].
ETINGOF, PI
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Yale University, New Haven, 06520, CT
ETINGOF, PI
;
FRENKEL, IB
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Yale University, New Haven, 06520, CT
FRENKEL, IB
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1994,
165
(03)
:429
-444
[8]
CLASSIFICATION AND CONSTRUCTION OF QUASISIMPLE LIE-ALGEBRAS
[J].
HOEGHKROHN, R
论文数:
0
引用数:
0
h-index:
0
机构:
Centre de Physique Théorique, CNRS - Luminy - Case 907
HOEGHKROHN, R
;
TORRESANI, B
论文数:
0
引用数:
0
h-index:
0
机构:
Centre de Physique Théorique, CNRS - Luminy - Case 907
TORRESANI, B
.
JOURNAL OF FUNCTIONAL ANALYSIS,
1990,
89
(01)
:106
-136
[9]
Lie algebras graded by 3-graded root systems and Jordan pairs covered by grids
[J].
Neher, E
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Ottawa, Ottawa
Neher, E
.
AMERICAN JOURNAL OF MATHEMATICS,
1996,
118
(02)
:439
-491
[10]
EXTENDED AFFINE ROOT SYSTEMS .1. (COXETER TRANSFORMATIONS)
[J].
SAITO, K
论文数:
0
引用数:
0
h-index:
0
机构:
KYOTO UNIV,MATH SCI RES INST,KYOTO 606,JAPAN
KYOTO UNIV,MATH SCI RES INST,KYOTO 606,JAPAN
SAITO, K
.
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES,
1985,
21
(01)
:75
-179
←
1
2
→