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Interior Multiplications and Deformations with Meson Algebras

✍ Scribed by Jacques Helmstetter


Book ID
105751364
Publisher
Springer
Year
2008
Tongue
English
Weight
451 KB
Volume
18
Category
Article
ISSN
0188-7009

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πŸ“œ SIMILAR VOLUMES


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✍ R.J. Loy; C.J. Read; V. Runde; G.A. Willis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 324 KB

We investigate amenable and weakly amenable Banach algebras with compact multiplication. Any amenable Banach algebra with compact multiplication is biprojective. As a consequence, every semisimple such algebra which has the approximation property is a topological direct sum of full matrix algebras.

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In one of his last papers, Boris Weisfeiler proved that if modular semisimple Lie algebra possesses a solvable maximal subalgebra which defines in it a long filtration, then associated graded algebra is isomorphic to one constructed from the Zassenhaus algebra tensored with the divided powers algebr