Lie Groups and Lie Algebras - Their Representations, Generalisations and Applications (Paperback, Softcover reprint of the original 1st ed. 1998)

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 the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 433
Release date:	October 2012
First published:	1998
Editors:	B.P. Komrakov • I.S. Krasil'shchik • G. L Litvinov • A.B. Sossinsky
Dimensions:	240 x 160 x 24mm (L x W x T)
Format:	Paperback
Pages:	447
Edition:	Softcover reprint of the original 1st ed. 1998
ISBN-13:	978-9401062121
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	9401062129
Barcode:	9789401062121

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