Share
Lie Groups and Lie Algebras: Their Representations, Generalisations and Applications (in English)
Komrakov, B. P. ; Krasil'shchik, I. S. ; Litvinov, G. L. (Author)
·
Springer
· Paperback
Lie Groups and Lie Algebras: Their Representations, Generalisations and Applications (in English) - Komrakov, B. P. ; Krasil'shchik, I. S. ; Litvinov, G. L.
$ 104.20
$ 109.99
You save: $ 5.79
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Monday, June 17 and
Tuesday, June 18.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Lie Groups and Lie Algebras: Their Representations, Generalisations and Applications (in English)"
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.
