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Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector field on the plane

โœ Scribed by D. B. Fuks


Publisher
Springer US
Year
1986
Tongue
English
Weight
424 KB
Volume
19
Category
Article
ISSN
0016-2663

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On the Codimension Growth of Finite-Dime
โœ Antonio Giambruno; Amitai Regev; Michail Zaicev ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 82 KB

We study the exponential growth of the codimensions c L of a finite-dimenn sional Lie algebra L over a field of characteristic zero. We show that if the n solvable radical of L is nilpotent then lim c L exists and is an integer.