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Algebra and Operator Theory

Proceedings of the Colloquium in Tashkent, 1997

  • Conference proceedings
  • © 1998

Overview

Editors:
  1. Yusupdjan Khakimdjanov

    1. Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
      Department of Mathematics, Université de Haute Alsace, Mulhouse-Colmar, France

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  2. Michel Goze

    1. Department of Mathematics, Université de Haute Alsace, Mulhouse-Colmar, France

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  3. Shavkat A. Ayupov

    1. Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

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Table of contents (22 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. On Leibniz Algebras

    • Sh. A. Ayupov, B. A. Omirov
    Pages 1-12

  3. A Moduli Problem Related to Complex Supermanifolds

    • A. L. Onishchik
    Pages 13-24

  4. Comparaison de L’Homologie de Hochschild et de L’Homologie de Poisson Pour Une Deformation des Surfaces de Klein

    • J. Alev, T. Lambre
    Pages 25-38

  5. Quelques Resultats En K-Theorie Reelle

    • C. N. Costinescu
    Pages 39-48

  6. Some Nilpotent Lie Algebras and Its Applications

    • M. Goze, Yu. Khakimdjanov
    Pages 49-64

  7. Algebres de Lie Rigides

    • M. Goze, J. M. Ancochea Bermudez
    Pages 65-91

  8. Family of p-Filiform Lie Algebras

    • J. M. Cabezas, J. R. Gómez, A. Jimenez-Merchán
    Pages 93-102

  9. The Functional Representation of Commutative Symmetric Operator Algebras in Pontryagin Space

    • V. I. Chilin, S. Sh. Masharipova
    Pages 103-110

  10. Continuous Decomposition of Real von Neumann Algebras of Type III

    • Sh. Usmanov
    Pages 111-116

  11. Espaces Vectoriels Differentiels

    • Kamola Khakimdjanova
    Pages 117-126

  12. Completude de L’equation D’Euler

    • Sh. Bromberg, A. Medina
    Pages 127-144

  13. On Invariants of Second Order Linear Partial Differential Equations in Two Variables

    • U. Bekbaev
    Pages 145-156

  14. Lattice-Ordered Groupoids and Their Prime Spectrums

    • Dj. Khadjiev, T. M. Shamilev
    Pages 157-164

  15. Sur Un Probleme D’Elie Cartan

    • T. Hangan
    Pages 165-176

  16. Classification of Non-Commutative Arens Algebras Associated with Semi-Finite Traces

    • R. Z. Abdullaev
    Pages 177-181

  17. Order Unit Space of Type I n with Banach Ball Property

    • M. A. Berdikulov
    Pages 183-186

  18. On Markov Random Fields on UHF Algebras

    • N. N. Ganikhodzhaev, F. M. Mukhamedov
    Pages 187-192

  19. Injectivity, Amenability, Semidiscreteness and Hyperfiniteness in Real W*-Algebras

    • A. Rakhimov, B. Boykabilov
    Pages 193-201

  20. Contractive Projections on Facially Symmetric Spaces

    • N. J. Yadgorov, M. M. Ibragimov
    Pages 203-206
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Keywords

About this book

This volume presents the lectures given during the second French-Uzbek Colloquium on Algebra and Operator Theory which took place in Tashkent in 1997, at the Mathematical Institute of the Uzbekistan Academy of Sciences. Among the algebraic topics discussed here are deformation of Lie algebras, cohomology theory, the algebraic variety of the laws of Lie algebras, Euler equations on Lie algebras, Leibniz algebras, and real K-theory. Some contributions have a geometrical aspect, such as supermanifolds. The papers on operator theory deal with the study of certain types of operator algebras. This volume also contains a detailed introduction to the theory of quantum groups.
Audience: This book is intended for graduate students specialising in algebra, differential geometry, operator theory, and theoretical physics, and for researchers in mathematics and theoretical physics.

Editors and Affiliations

  • Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

    Yusupdjan Khakimdjanov, Shavkat A. Ayupov

  • Department of Mathematics, Université de Haute Alsace, Mulhouse-Colmar, France

    Yusupdjan Khakimdjanov, Michel Goze

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