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 |  | 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 | doi | https://doi.org/10.1007/978-94-011-5258-7 | isbn_softcover | 978-94-010-6212-1 | isbn_ebook | 978-94-011-5258-7 | copyright | Springer Science+Business Media Dordrecht 1998 |
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