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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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https://doi.org/10.1007/978-94-011-5258-7Cohomology; Representation theory; Sheaf cohomology; algebra; homology; homomorphism; manifold; symplectic
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Mathematics and Its Applicationshttp://image.papertrans.cn/l/image/585700.jpg
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Two Types of Poisson Pencils and Related Quantum ObjectsTwo types of Poisson pencils connected to classical R-matrices and their quantum counterparts are considered. A representation theory of the quantum algebras related to some symmetric orbits in .(.)* is constructed. A twisted version of quantum mechanics is discussed..Mathematics Subject Classification (1991): 17B37, 81R50.
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Laguerre Hypergroup and Limit TheoremWe provide . [0, +∞[×ℝ with a generalized convolution product ⋆ related to Laguerre functions. We prove that (., ⋆) is a hyper-group in the sense of Jewett called Laguerre hypergroup and we prove a central limit theorem on ...Mathematics Subject Classification (1991): Primary 60F05, 60J15; Secondary 33C25, 43A62.
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Homology Invariants of Homogeneous Complex ManifoldsA connected Lie group has an Iwasawa decomposition . = . × ℝ., where . is a maximal compact subgroup of .. It is well-known that a complex Lie group . is compact, i.e., .. = 0, if and only if . is a torus. One also has the following.Mathematics Subject Classification (1991): 32M10.
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Dual Quasitriangular Structures Related to the Temperley-Lieb Algebrabjects related to the Temperley-Lieb algebra satisfying this criterion. We show also that this dual quasitriangular structure is in some sense nondegenerate..Mathematics Subject Classification (1991): 17B37, 81R50.
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