Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 4
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- Pages.1123-1128
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
LIE-ADMISSIBLE ALGEBRAS AND THE VIRASORO ALGEBRA
Abstract
Let A be an (nonassociative) algebra with multiplication xy over a field F, and denote by $A^-$ the algebra with multiplication [x, y] = xy - yx$ defined on the vector space A. If $A^-$ is a Lie algebra, then A is called Lie-admissible. Lie-admissible algebras arise in various topics, including geometry of invariant affine connections on Lie groups and classical and quantum mechanics(see [2, 5, 6, 7] and references therein).