Infinite-dimensional Lie algebras of generalized Block type

Osborn, J.; Zhao, Kaiming

doi:10.1090/S0002-9939-99-04811-X

Infinite-dimensional Lie algebras of generalized Block type
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by J. Marshall Osborn and Kaiming Zhao PDF

Proc. Amer. Math. Soc. 127 (1999), 1641-1650 Request permission

Abstract:

This paper investigates a class of infinite-dimensional Lie algebras over a field of characteristic $0$ which are called here Lie algebras of generalized Block type, and which genereralize a class of Lie algebras originally defined by Richard Block. Under certain natural restrictions, this class of Lie algebras is shown to break into five subclasses. One of these subclasses contains all generalized Cartan type $K$ Lie algebras and some Lie algebras of generalized Cartan type $H$, and a second one is the class of Lie algebras of type $L$, which were previously defined and studied elsewhere by the authors. The other three types are hybrids of the first two types, and are new.

References

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