MENÜ

175 pages, year of publication: 2011

price: 35.50 €

Classification and Structure Theory of Lie Algebras of Smooth Sections

This dissertation focusses on the structure of Lie algebras of smooth and k-times differentiable sections of finite-dimensional Lie algebra bundles, which are generalizations of the famous and well-understood affine Kac-Moody algebras. Besides answering the immediate structural questions (center, commutator algebra, derivations, centroid, automorphism group), this work approaches a classification of section algebras by homotopy theory. Furthermore, we determine a universal invariant symmetric bilinear form on Lie algebras of smooth sections and use this form to define a natural central extension which is universal, at least in the case of Lie algebra bundles with compact base manifold.

- Lie-Algebra
- Lie-Algebren-Bündel
- Zentrale Erweiterung
- Kac-Moody-Algebra
- Vektorbündel

35.50 € | ||

in stock | ||

34.50 € | ||

44.50 € | ||

48.50 € | ||

(D) = Within Germany

(W) = Abroad

(W) = Abroad

You can purchase the eBook (PDF) alone or combined with the printed book (Bundle). In both cases we use the payment service of PayPal for charging you - nevertheless it is not necessary to have a PayPal-account. With purchasing the eBook or eBundle you accept our licence for eBooks.

For multi-user or campus licences (MyLibrary) please fill in the form or write an email to **order@logos-verlag.de**

Logos Verlag Berlin GmbH, Georg-Knorr-Str. 4, Geb. 10, D-12681 Berlin, Tel.: +49 (0)30 4285 1090, FAX: +49 (0)30 4285 1092 Datenschutz