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Nilpotent Lie Algebras (Hardcover, 1996 ed.) Loot Price: R4,650
Discovery Miles 46 500
Nilpotent Lie Algebras (Hardcover, 1996 ed.): M. Goze, Y. Khakimdjanov

Nilpotent Lie Algebras (Hardcover, 1996 ed.)

M. Goze, Y. Khakimdjanov

Series: Mathematics and Its Applications, 361

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Loot Price R4,650 Discovery Miles 46 500 | Repayment Terms: R436 pm x 12*

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Nilpotent Ue algebras have played an Important role over the last ye!US : either In the domain at Algebra when one considers Its role In the classlftcation problems of Ue algebras, or In the domain of geometry since one knows the place of nilmanlfolds In the Illustration, the description and representation of specific situations. The first fondamental results In the study of nilpotent Ue algebras are obvlsouly, due to Umlauf. In his thesis (leipZig, 1991), he presented the first non trlvlal classifications. The systematic study of real and complex nilpotent Ue algebras was Independently begun by D1xmler and Morozov. Complete classifications In dimension less than or equal to six were given and the problems regarding superior dimensions brought to light, such as problems related to the existence from seven up, of an infinity of non Isomorphic complex nilpotent Ue algebras. One can also find these losts (for complex and real algebras) In the books about differential geometry by Vranceanu. A more formal approach within the frame of algebraiC geometry was developed by Michele Vergne. The variety of Ue algebraiC laws Is an affine algebraic subset In this view the role variety and the nilpotent laws constitute a Zarlski's closed of Irreduclbl~ components appears naturally as well the determination or estimate of their numbers. Theoritical physiCiSts, Interested In the links between diverse mechanics have developed the Idea of contractions of Ue algebras (Segal, Inonu, Wlgner). That Idea was In fact very convenient In the determination of components.

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 361
Release date: February 1996
First published: 1996
Authors: M. Goze • Y. Khakimdjanov
Dimensions: 235 x 155 x 20mm (L x W x T)
Format: Hardcover
Pages: 336
Edition: 1996 ed.
ISBN-13: 978-0-7923-3932-8
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
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LSN: 0-7923-3932-0
Barcode: 9780792339328

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