Download Algebra and Operator Theory: Proceedings of the Colloquium by Sh. A. Ayupov, B. A. Omirov (auth.), Yusupdjan Khakimdjanov, PDF

By Sh. A. Ayupov, B. A. Omirov (auth.), Yusupdjan Khakimdjanov, Michel Goze, Shavkat A. Ayupov (eds.)

This quantity offers the lectures given throughout the moment French-Uzbek Colloquium on Algebra and Operator idea which happened in Tashkent in 1997, on the Mathematical Institute of the Uzbekistan Academy of Sciences. one of the algebraic issues mentioned listed here are deformation of Lie algebras, cohomology conception, the algebraic number of the legislation of Lie algebras, Euler equations on Lie algebras, Leibniz algebras, and actual K-theory. a few contributions have a geometric point, corresponding to supermanifolds. The papers on operator conception take care of the learn of specific sorts of operator algebras. This quantity additionally includes a precise advent to the idea of quantum teams.
Audience: This ebook is meant for graduate scholars specialising in algebra, differential geometry, operator concept, and theoretical physics, and for researchers in arithmetic and theoretical physics.

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5] J. Dixmier, Sur les algebres de Weyl, Bull. Soc. Math. Prance, 96, 1968. [6] A. Guichardet, Homologie de Hochschild des deformations d'algebres de polynomes, a paraitre. [7] C. Kassel, L'homologie cyclique des algebres enveloppantes, Invent. , 91, 1988, 221-251. [8] M. Lorenz, Crossed Products: Characters, Cyclic Homology, and Grothendieck Groups, Non commutative Rings, Math. Sciences Research Institute Publications, 24, Springer Verlag, 1992, 69-98. [9] S. , 818, Springer Verlag, 1980. [10] P.

Let 9 be a filiform Lie algebra of dimension n + 1 2 7 nonisomorphic to £n and Qn- Then 9 is characteristically nilpotent if and only if 9 is not isomorphic to its sill algebra . 2 Description of Lie algebras whose nilradical is filiform Let 9 be a Lie algebra. The semidirect decomposition 9 = s EI1 r holds, where r is the radical in 9 (the Levi decomposition), and all Levi subalgebras are mutually conjugate (Mal'tsev's theorem [10]). These theorems suggest to consider the problem of classification of Lie algebras with a fixed radical [15].

Dans ce qui suit nous nous placerons sous l'hypothese de la derniere proposition; rappelons maintenant un theoreme de structure (voir [12]) bien adapte a la K-theorie reelle. 2 Supposons que Tors (K*(X)) = a et que la conjugaison decompose Ie groupe abelien (K* (X) sous la forme: (K*(X) = M+ EBTEBT* de sorte que soit la multiplication par+1 (respectivement-1) sur M+(respectivement sur M _) et d 'autre part echange T et T*; en outre soient hI, ... , h n E KO* (X) tels que les c(h i ) forment une base pour K* (+) ® (M+ EB M_) en tant que K* (+) -module.

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