Lie groups and lie algebras: Their representations, generalisations and applications: Edited by B. P. Komrakov, I. S. Krasil'shchik, G. L. Litvinov and A. B. Sossinsky. Kluwer Academic Publishers, Dordrecht. (1998). 442 pages. $194.00, NLG 340.00, GBP 116.00
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 114 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
Preface. I. Quantum mathematics. Dual quasitriangular structures related to the Temperley-Lieb algebra (P. Akueson and D. Gurevich). On the quantization of quadratic Poisson brackets on a polynomial algebra of four variables (J. Donin). Two types of Poisson pencils and related quantum objects (D. Gurevich, J. Donin and V. Rubtsov). Wave packet transform in symplectic geometry and asymptotic quantization (V. Nazaikinskii and B. Sternin). On quantum methods in the classical theory of representations (D.P. Zhelobenko). II. Hypergroups. Multivalued groups, n-Hopf algebras and n-ring homomorphisms (V.M. Buchstaber). Hypergroups and differential equations (W.C. Connett and A.L. Schwartz). The Haar measure on locally compact hypergroups (O. Gebuhrer). Laguerre hypergroup and limit theorem (M.M. Nessibi and M. Sift). The representation of the reproducing kernel in orthogonal polynomials on several intervals (B.P. Osilenker). III. Homogenious spaces and Lie algebras and superalgebras. Homology invariants of homogeneous complex manifolds (B. Gilligan). Micromodules (B. Komrakov and A. Tchuryumov). A spectral sequence for the tangent sheaf cohomology of a supermanifold (A.L. Onishchik). On a duality of varieties of representations of ternary Lie and super Lie systems (Yu.P. Razmyslov). Various aspects and generalizations of the Godbillon-Vey invariant (C. Roger). Volume of bounded symmetric domains and compactification of Jordan triple systems (G. Roos). IV. Representations. Asymptotic behavior of the Poisson transform on a hyperboloid of one sheet (A.A. Artemov). Maximal degenerate representations, Berezin kernels and canonical representations (G. Van Dijk and S.C. Hille). Asymptotic representation of discrete groups (A.S. Mishchenko and M. Mohammad). Maximal degenerate series representations of universal covering of the group SU(n, n) (V.F. Molchanov). Almost representations of quasi-symmetry (A.I. Shtern). V. Differential equations. Orbital isomorphism between two classical integrable systems (A.V. Bolsinov and A.T. Fomenko). Noncommutative deformation of the KP hierarchy and the universal Grassmann manifold (E.E. Demidov). Symmetries of completely integrable distributions (B. Dubrov and B. Komrakov). Algebras with fiat connections and symmetries of differential equations (I.S. Krasil'shchik). On the geometry of current groups and a model of the Landau-Lifschitz equation (A.M. Lukatsky). Change variable formulas for Gaussian integrals over spaces of paths