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Lie algebra

   Also found in: Wikipedia 0.01 sec.
Lie algebra [′lē ‚al·jə·brə]
(mathematics)
The algebra of vector fields on a manifold with additive operation given by pointwise sum and multiplication by the Lie bracket.


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The 18 highly refereed papers, many revised, discuss such topics as Kostant's theorem for Lie algebra cohomology, characters of simply-laced non-connected groups versus characters of non-simply-placed connected groups, quivers and the euclidean group, and irreducible representations of the special algebras in prime characteristic.
Keywords: Partial differential equation, Lie algebra and conditionally invariant solutions.
The controllability of this model under these nonholonomic constraints is also verified using the Control Lie Algebra.
 
 
 
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