Lie bialgebras of generalized Witt type

By Guang’ai Song, Yu-cai Su. 2005

79 citations recorded by the source corpus.

In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W,W ⊗ W) is trivial.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cd7b93e85714fd1f7ffed180ef0294780cf01879

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

  1. Guang Ai Song
  2. Yuezhu Wu
  3. Yu-cai Su
  4. Kaiming Zhao
  5. R. Lu

In Geometry and Topology

  1. Guang Ai Song
  2. Yuezhu Wu
  3. Yu-cai Su
  4. Kaiming Zhao
  5. R. Lu

In Mathematical Physics

  1. Guang Ai Song
  2. Yuezhu Wu
  3. Yu-cai Su
  4. Kaiming Zhao
  5. R. Lu

Citations in the corpus