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Titlebook: Lie Groups and Lie Algebras; Their Representation B. P. Komrakov,I. S. Krasil’shchik,A. B. Sossinsky Book 1998 Springer Science+Business Me

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书目名称Lie Groups and Lie Algebras
副标题Their Representation
编辑B. P. Komrakov,I. S. Krasil’shchik,A. B. Sossinsky
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Lie Groups and Lie Algebras; Their Representation B. P. Komrakov,I. S. Krasil’shchik,A. B. Sossinsky Book 1998 Springer Science+Business Me
描述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 activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen­ erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of
出版日期Book 1998
关键词Cohomology; Representation theory; Sheaf cohomology; algebra; homology; homomorphism; manifold; symplectic
版次1
doihttps://doi.org/10.1007/978-94-011-5258-7
isbn_softcover978-94-010-6212-1
isbn_ebook978-94-011-5258-7
copyrightSpringer Science+Business Media Dordrecht 1998
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Wave Packet Transform in Symplectic Geometry and Asymptotic Quantization space and is closely related to the Bargmann transform. In the leading term this procedure yields Schrödinger’s quantization of observables, Maslov’s quantization of Lagrangian modules, and Fock’s quantization of canonical transforms..Mathematics Subject Classification (1991): Primary 53B30, 53C80,
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Multivalued Groups, ,-Hopf Algebras and ,-Ring Homomorphismsin the much more developed theory of hypergroups; it is also more oriented towards algebraic and topological ideas. A number of methods for constructing examples are given and the classification of the algebraic 2-valued group structures on the Riemann sphere is presented. We introduce the (purely a
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Micromodules example, odd components of simple Lie superalgebras, isotropic representations of symmetric spaces and homogeneous spaces of semisimple Lie groups with stationary subgroups of maximal rank, etc. They also appear in isotropically irreducible homogeneous spaces and in inclusions of simple irreducible
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A Spectral Sequence for the Tangent Sheaf Cohomology of a Supermanifoldcohomology of the associated split supermanifold. The first coboundary operators of this sequence are determined, and the example of the superquadric in the projective superplane is studied..Mathematics subject classification (1991): 58A50, 17B70.
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Various Aspects and Generalizations of the Godbillon-Vey Invariant of known results scattered in different places and does not contain really new results except for the computations on Lie superalgebras..Mathematics Subject Classification (1991): 57R20, 57R30, 57R32, 58H10, 57R57, 17B70, 17B58.
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Volume of Bounded Symmetric Domains and Compactification of Jordan Triple Systems of some projective realization of its compact dual. We give an explanation of this phenomenon in the language of Jordan triple systems. First, we give a simplified version of the projective imbedding of a compactification introduced by O. Loos. We then compute the pullback of the invariant projecti
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