Ebook: Algebra and Operator Theory: Proceedings of the Colloquium in Tashkent, 1997

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.

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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.

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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.
Content:
Front Matter....Pages i-viii
On Leibniz Algebras....Pages 1-12
A Moduli Problem Related to Complex Supermanifolds....Pages 13-24
Comparaison de L’Homologie de Hochschild et de L’Homologie de Poisson Pour Une Deformation des Surfaces de Klein....Pages 25-38
Quelques Resultats En K-Theorie Reelle....Pages 39-48
Some Nilpotent Lie Algebras and Its Applications....Pages 49-64
Algebres de Lie Rigides....Pages 65-91
Family of p-Filiform Lie Algebras....Pages 93-102
The Functional Representation of Commutative Symmetric Operator Algebras in Pontryagin Space....Pages 103-110
Continuous Decomposition of Real von Neumann Algebras of Type III....Pages 111-116
Espaces Vectoriels Differentiels....Pages 117-126
Completude de L’equation D’Euler....Pages 127-144
On Invariants of Second Order Linear Partial Differential Equations in Two Variables....Pages 145-156
Lattice-Ordered Groupoids and Their Prime Spectrums....Pages 157-164
Sur Un Probleme D’Elie Cartan....Pages 165-176
Classification of Non-Commutative Arens Algebras Associated with Semi-Finite Traces....Pages 177-181
On Markov Random Fields on UHF Algebras....Pages 183-186
Injectivity, Amenability, Semidiscreteness and Hyperfiniteness in Real W*-Algebras....Pages 187-192
Contractive Projections on Facially Symmetric Spaces....Pages 193-201
The Property (t?) for Locally Compact Connected Groups....Pages 203-206
Grupos Cu?nticos....Pages 207-211
On the Group of Weak Automorphisms of a Family of Equivalence Relations....Pages 213-236
Back Matter....Pages 237-248
....Pages 249-250