Lie Bialgebra Structures on the Centerless W-Algebra W(2,2)-Reference-Cited by-同舟云学术

Lie Bialgebra Structures on the Centerless W-Algebra W(2,2)

Published:2010-06 Issue:02 Volume:17 Page:181-190
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Li Junbo¹²,Su Yucai²,Xin Bin³

Affiliation:

1. Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China

2. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

3. Collage of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China

Abstract

Verma modules over the W-algebra W(2,2) were considered by Zhang and Dong, while the Harish-Chandra modules and irreducible weight modules over this algebra were classified by Liu and Zhu etc. In the present paper, we investigate the Lie bialgebra structures on the centerless W-algebra, which are shown to be triangular coboundary.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386710000192

Reference13 articles.

1. Quantizations of the Witt algebra and of simple Lie algebras in characteristic p

2. Lie bialgebras of a family of Lie algebras of Block type

3. Classification of irreducible weight modules over W-algebra W(2,2)

4. Lie coalgebras

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