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Lie Bialgebras of Generalized Virasoro–like Type

✍ Scribed by Yue Zhu Wu; Guang Ai Song; Yu Cai Su

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
176 KB
Volume
22
Category
Article
ISSN
1439-7617

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In this note, we show explicitly how to obtain the structure of a Lie bialgebra on the Virasoro algebra (with or without a central extension), on the Witt algebra, and on many other Lie algebras. Previously, V. G. Drinfel'd (in a fundamental paper (1983, Soviet Math. Dokl. 27, No. 1, 68-71)), introd

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In this paper, we study the derivation Lie algebra of the higher rank Virasoro-like algebra. We prove that it isomorphic to the skew derivation Lie algebra. We also characterize the automorphism groups of the higher rank Virasoro-like algebra and the skew derivation Lie algebra. This generalizes the