Derivation-Simple Algebras and the Structures of Lie Algebras of Witt Type
By Yu-cai Su, Xiaoping Xu, Hechun Zhang. 2000
70 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/52a6faa0b6ab11f7dd865cde7db5f6f13c7ea3d6
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Citations in the corpus
- Lie bialgebras of generalized Witt type (2005, methodology): “ degree operator ti ∂ ∂ti . Denote W = F[A]⊗T= span{tx∂|x∈ A,∂∈ T}, where we have simplified the notation by setting tx∂= tx ⊗ ∂. Then W is a simple Lie algebra of generalized Witt type [DZ] (see also [SXZ], [SZ], [X]) under the following bracket [tx∂,ty∂′] = tx+y(∂(y)∂′ −∂′(x)∂) for x,y∈ A, ∂,∂′ ∈ T”