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Classification of integrable representations for toroidal extended affine Lie algebras
被引:5
作者
:
Chen, Fulin
论文数:
0
引用数:
0
h-index:
0
机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Chen, Fulin
[
1
]
Li, Zhiqiang
论文数:
0
引用数:
0
h-index:
0
机构:
Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Li, Zhiqiang
[
2
]
Tan, Shaobin
论文数:
0
引用数:
0
h-index:
0
机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Tan, Shaobin
[
1
]
机构
:
[1]
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2]
Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源
:
JOURNAL OF ALGEBRA
|
2021年
/ 574卷
关键词
:
Toroidal extended affine Lie algebra;
Integrable representation;
Irreducible representation;
D O I
:
10.1016/j.jalgebra.2021.01.022
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
In this paper, we classify the irreducible integrable modules for nullity 2 toroidal extended affine Lie algebras with finite dimensional weight spaces. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码:1 / 37
页数:37
相关论文
共 26 条
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Allison B., 1997, MEM AM MATH SOC, V126, P603
[2]
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
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0
引用数:
0
h-index:
0
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UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
UNIV SASKATCHEWAN,DEPT MATH & STAT,SASKATOON,SK S7N 5E6,CANADA
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MULTILOOP REALIZATION OF EXTENDED AFFINE LIE ALGEBRAS AND LIE TORI
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0
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机构:
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Allison, Bruce
;
Berman, Stephen
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0
h-index:
0
机构:
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Berman, Stephen
;
Faulkner, John
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Faulkner, John
;
Pianzola, Arturo
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0
引用数:
0
h-index:
0
机构:
Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Pianzola, Arturo
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
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Highest weight modules over pre-exp-polynomial Lie algebras
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Batra, Punita
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0
引用数:
0
h-index:
0
机构:
Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Batra, Punita
;
Guo, Xiangqian
论文数:
0
引用数:
0
h-index:
0
机构:
Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Guo, Xiangqian
;
Lu, Rencai
论文数:
0
引用数:
0
h-index:
0
机构:
Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Lu, Rencai
;
Zhao, Kaiming
论文数:
0
引用数:
0
h-index:
0
机构:
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Zhao, Kaiming
.
JOURNAL OF ALGEBRA,
2009,
322
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:4163
-4180
[5]
Quantum tori and the structure of elliptic quasi-simple Lie algebras
[J].
Berman, S
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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,
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Weight modules over exp-polynomial Lie algebras
[J].
Billig, Y
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0
引用数:
0
h-index:
0
机构:
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Billig, Y
;
Zhao, KM
论文数:
0
引用数:
0
h-index:
0
机构:
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Zhao, KM
.
JOURNAL OF PURE AND APPLIED ALGEBRA,
2004,
191
(1-2)
:23
-42
[7]
Representations of toroidal extended affine Lie algebras
[J].
Billig, Yuly
论文数:
0
引用数:
0
h-index:
0
机构:
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Billig, Yuly
.
JOURNAL OF ALGEBRA,
2007,
308
(01)
:252
-269
[8]
Classification of category J modules for divergence zero vector fields on a torus
[J].
Billig, Yuly
论文数:
0
引用数:
0
h-index:
0
Billig, Yuly
;
Talboom, John
论文数:
0
引用数:
0
h-index:
0
Talboom, John
.
JOURNAL OF ALGEBRA,
2018,
500
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-516
[9]
NEW UNITARY REPRESENTATIONS OF LOOP-GROUPS
[J].
CHARI, V
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
CHARI, V
;
PRESSLEY, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
PRESSLEY, A
.
MATHEMATISCHE ANNALEN,
1986,
275
(01)
:87
-104
[10]
INTEGRABLE REPRESENTATIONS OF AFFINE LIE-ALGEBRAS
[J].
CHARI, V
论文数:
0
引用数:
0
h-index:
0
CHARI, V
.
INVENTIONES MATHEMATICAE,
1986,
85
(02)
:317
-335
←
1
2
3
→
共 26 条
[1]
Allison B., 1997, MEM AM MATH SOC, V126, P603
[2]
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
[3]
MULTILOOP REALIZATION OF EXTENDED AFFINE LIE ALGEBRAS AND LIE TORI
[J].
Allison, Bruce
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Allison, Bruce
;
Berman, Stephen
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Berman, Stephen
;
Faulkner, John
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Faulkner, John
;
Pianzola, Arturo
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
Univ Victoria, Dept Math & Stat, STN CSC, Victoria, BC V8W 3R4, Canada
Pianzola, Arturo
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2009,
361
(09)
:4807
-4842
[4]
Highest weight modules over pre-exp-polynomial Lie algebras
[J].
Batra, Punita
论文数:
0
引用数:
0
h-index:
0
机构:
Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Batra, Punita
;
Guo, Xiangqian
论文数:
0
引用数:
0
h-index:
0
机构:
Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Guo, Xiangqian
;
Lu, Rencai
论文数:
0
引用数:
0
h-index:
0
机构:
Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Lu, Rencai
;
Zhao, Kaiming
论文数:
0
引用数:
0
h-index:
0
机构:
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Zhao, Kaiming
.
JOURNAL OF ALGEBRA,
2009,
322
(12)
:4163
-4180
[5]
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
[6]
Weight modules over exp-polynomial Lie algebras
[J].
Billig, Y
论文数:
0
引用数:
0
h-index:
0
机构:
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Billig, Y
;
Zhao, KM
论文数:
0
引用数:
0
h-index:
0
机构:
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Zhao, KM
.
JOURNAL OF PURE AND APPLIED ALGEBRA,
2004,
191
(1-2)
:23
-42
[7]
Representations of toroidal extended affine Lie algebras
[J].
Billig, Yuly
论文数:
0
引用数:
0
h-index:
0
机构:
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Billig, Yuly
.
JOURNAL OF ALGEBRA,
2007,
308
(01)
:252
-269
[8]
Classification of category J modules for divergence zero vector fields on a torus
[J].
Billig, Yuly
论文数:
0
引用数:
0
h-index:
0
Billig, Yuly
;
Talboom, John
论文数:
0
引用数:
0
h-index:
0
Talboom, John
.
JOURNAL OF ALGEBRA,
2018,
500
:498
-516
[9]
NEW UNITARY REPRESENTATIONS OF LOOP-GROUPS
[J].
CHARI, V
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
CHARI, V
;
PRESSLEY, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND
PRESSLEY, A
.
MATHEMATISCHE ANNALEN,
1986,
275
(01)
:87
-104
[10]
INTEGRABLE REPRESENTATIONS OF AFFINE LIE-ALGEBRAS
[J].
CHARI, V
论文数:
0
引用数:
0
h-index:
0
CHARI, V
.
INVENTIONES MATHEMATICAE,
1986,
85
(02)
:317
-335
←
1
2
3
→