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

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

ISBN-10: 9401061300

ISBN-13: 9789401061308

ISBN-10: 9401150729

ISBN-13: 9789401150729

This quantity provides the lectures given through the moment French-Uzbek Colloquium on Algebra and Operator idea which came about in Tashkent in 1997, on the Mathematical Institute of the Uzbekistan Academy of Sciences. one of the algebraic subject matters mentioned listed here are deformation of Lie algebras, cohomology idea, the algebraic number of the legislation of Lie algebras, Euler equations on Lie algebras, Leibniz algebras, and genuine K-theory. a few contributions have a geometric point, equivalent to supermanifolds. The papers on operator conception take care of the learn of particular types of operator algebras. This quantity additionally features a targeted creation to the idea of quantum teams.
Audience: This e-book is meant for graduate scholars specialising in algebra, differential geometry, operator idea, and theoretical physics, and for researchers in arithmetic and theoretical physics.

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Extra resources for Algebra and Operator Theory: Proceedings of the Colloquium in Tashkent, 1997

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12] M. Van den Bergh, Non commutative homology of some three-dimensional quantum spaces, K-theory, 8, 1994, 213-230. [13] M. <;, Journal of Pure and Applied Algebra, 72, 1991,95-108. [14] M. , 54, 1987, 641-647. S. : 13A50, 13DlO, 16E40. COSTINESCU Departement de Mathematiques, Universite Technique de Constructions, Bucarest, RO UMANIE Abstract. On etudie la suite spectrale d'Atiyah-Hirzebruch associee a KO* (HS(n,k)), ou HS(n,k) designe la variete quatemionique de Stiefel. Les isomorphismes de groupes abeliens : KO*(HS(n,k)) ~E 2 (HS(n,k))~ E~(HS(n,k)) qui ont ete etablis,donnent la structure Zs- graduee de la K- theorie reelle.

3 Dans [1], on calcule egalement les dimensions finies des espaces HHo(AI(C)G) pour C = An' D n par une methode directe utilisant des generateurs explicites de l'algebre AI(C)G ; pour les cas de E 6 , E 7 , E s ce calcul devient tres fastidieux vu la nature plus compliquee des generateurs de l'algebre des invariants. Dans cette section, nous calculons Ie groupe HHo(AI(C)G) pour tous les groupes C en utilisant un resultat etabli depuis dans [8]. bh = ab g- gh ([9],[1]). Le groupe HHo(AI(C)G) qui est un invariant de Morita sera calcule pour Al (C) * C.

On holomorphic graded manifolds. Proc. Amer. Math. , 85( 1982), 587-590. R. Griffiths, J. Harris. Principles of Algebraic Geometry. J. Wiley & Sons, New York 1978. [7] A. Grothendieck. Sur quelques points d'algebre homologique. T6hoku Math. , 9(1957), 119-221. [8] S. Helgason. Differential Geometry, Lie Groups, and Symmetric Spaces. a. 1978. -L. Koszul. Sur la forme hermitienne canonique des espaces homogenes complexes. Ganad. J. , 7(1955), 562-576. I. Manin. Gauge Field Theory and Complex Geometry.

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Algebra and Operator Theory: Proceedings of the Colloquium in Tashkent, 1997 by Sh. A. Ayupov, B. A. Omirov (auth.), Yusupdjan Khakimdjanov, Michel Goze, Shavkat A. Ayupov (eds.)


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