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Lie bialgebras of generalized Witt type

✍ Scribed by Guang’ai Song; Yucai Su

Book ID
107347400
Publisher
SP Science China Press
Year
2006
Tongue
English
Weight
201 KB
Volume
49
Category
Article
ISSN
1674-7283

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Let K be a field, let A be an associative, commutative K-algebra, and let ⌬ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m ⌬ s A⌬ becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple