Lie Groups and Lie Algebras Their Representations, Generalisations and Applications / edited by B.P. Komrakov, I.S. Krasil'shchik, G.L. Litvinov, A.B. Sossinsky.

This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose ac...

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Bibliographic Details
Corporate Author:	SpringerLink (Online service)
Other Authors:	Komrakov, B.P (Editor), Krasil'shchik, I.S (Editor), Litvinov, G.L (Editor), Sossinsky, A.B (Editor)
Format:	eBook
Language:	English
Published:	Dordrecht : Springer Netherlands : Imprint: Springer, 1998.
Edition:	1st ed. 1998.
Series:	Mathematics and Its Applications ; 433 Springer eBook Collection.
Subjects:	Nonassociative rings. Rings (Algebra). Topological groups. Lie groups. Global analysis (Mathematics). Manifolds (Mathematics). Partial differential equations. Applied mathematics. Engineering mathematics. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

Table of Contents:

I: Quantum Mathematics
Dual Quasitriangular Structures Related to the Temperley-Lieb Algebra
On the Quantization of Quadratic Poisson Brackets on a Polynomial Algebra of Four Variables
Two Types of Poisson Pencils and Related Quantum Objects
Wave Packet Transform in Symplectic Geometry and Asymptotic Quantization
On Quantum Methods in the Classical Theory of Representations
II: Hypergroups
Multivalued Groups, n-Hopf Algebras and n-ring Homomorphisms
Hypergroups and Differential Equations
The Haar Measure On Locally Compact Hypergroups
Laguerre Hypergroup and Limit Theorem
The Representation of the Reproducing Kernel in Orthogonal Polynomials on Several Intervals
III: Homogenious Spaces And Lie Algebras and Superalgebras
Homology Invariants of Homogeneous Complex Manifolds
Micromodules
A Spectral Sequence for the Tangent Sheaf Cohomology of a Supermanifold
On a Duality of Varieties of Representations of Ternary Lie and Super Lie Systems
Various Aspects and Generalizations of the Godbillon-Vey Invariant
Volume of Bounded Symmetric Domains and Compactification of Jordan Triple Systems
IV: Representations
Asymptotic Behavior of the Poisson Transform on a hyperboloid of one sheet
Maximal Degenerate Representations, Berezin Kernels and Canonical Representations
Asymptotic Representation of Discrete Groups
Maximal Degenerate Series Representations of the Universal Covering of the Group SU(n, n)
Almost Representations and Quasi-Symmetry
V: Differential Equations
Orbital Isomorphism between Two Classical Integrable Systems
Noncommutative Deformation of the KP Hierarchy and the Universal Grassmann Manifold
Symmetries of Completely Integrable Distributions
Algebras with Flat Connections and Symmetries of Differential Equations
On the Geometry of Current Groups and a Model of the Landau-Lifschitz Equation
Change Variable Formulas for Gaussian Integrals over Spaces of Paths in Compact Riemannian Manifolds.

Lie Groups and Lie Algebras Their Representations, Generalisations and Applications / edited by B.P. Komrakov, I.S. Krasil'shchik, G.L. Litvinov, A.B. Sossinsky.

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