Dual Lie Bialgebra Structures of W-algebra W(2,2) Type

被引：3

作者：

Song, Guang Ai ^{[1
]}

Su, Yu Cai ^{[2
]}

Yue, Xiao Qing ^{[2
]}

机构：

[1] Shandong Technol & Business Univ, Coll Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 10期

关键词：

W(2; 2) algebra; Lie bialgebra; Lie coalgebra; dual Lie bialgebra; maximal good subspace; GENERALIZED VIRASORO; WITT; COALGEBRAS;

D O I：

10.1007/s10114-019-8287-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we investigate the dual Lie coalgebras of the centerless W(2, 2) algebra by studying the maximal good subspaces. Based on this, we construct the dual Lie bialgebra structures of the centerless W(2, 2) Lie bialgebra. As by-products, four new infinite dimensional Lie algebras are obtained.

引用

页码：1696 / 1714

页数：19

共 28 条

[1] COMMUNTATIVE HOPF-ALGEBRAS, LIE COALGEBRAS, AND DIVIDED POWERS [J].

BLOCK, RE .

JOURNAL OF ALGEBRA, 1985, 96 (01) :275-306

[2] GENERALIZED DUAL COALGEBRAS OF ALGEBRAS, WITH APPLICATIONS TO COFREE COALGEBRAS [J].

BLOCK, RE ;

LEROUX, P .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1985, 36 (01) :15-21

[3]

Diarra B., 1995, PUBL MAT, V39, P349

[4]

Drinfeld V. G., 1987, P INT CMATH, V1, P789

[5]

DRINFELD VG, 1983, SOV MATH DOKL, V27, P68

[6] The dual coalgebra of certain infinite-dimensional Lie algebras [J].

Griffing, G .

COMMUNICATIONS IN ALGEBRA, 2002, 30 (12) :5715-5724

[7] Quantizations of the W-Algebra W(2,2) [J].

Li, Jun Bo ;

Su, Yu Cai .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (04) :647-656

[8] Lie Bialgebra Structures on the Centerless W-Algebra W(2,2) [J].

Li, Junbo ;

Su, Yucai ;

Xin, Bin .

ALGEBRA COLLOQUIUM, 2010, 17 (02) :181-190

[9]

Liu D., ARXIV08012601V2

[10] Classification of irreducible weight modules over W-algebra W(2,2) [J].

Liu, Dong ;

Gao, Shoulan ;

Zhu, Linsheng .

JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (11)

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