Lie bialgebra structures on the $W$-algebra W(2,2)

Details Lie bialgebra structures on the $W$-algebra W(2,2) Lie bialgebra structures on the $W$-algebra W(2,2)

2008-01-27

arxiv.org/abs/0801.4144v1

Mathematics

Rings and Algebras

14 pages

Scientific paper

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 the same
algebra were classified by Liu and Zhu etc. In the present paper we shall
investigate the Lie bialgebra structures on the referred algebra, which are
shown to be triangular coboundary.

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