|
Books > Science & Mathematics > Mathematics > Algebra
|
Buy Now
Lie Algebraic Methods in Integrable Systems (Paperback)
Loot Price: R4,743
Discovery Miles 47 430
|
|
|
Lie Algebraic Methods in Integrable Systems (Paperback)
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Expected to ship within 12 - 17 working days
|
Over the last thirty years, the subject of nonlinear integrable
systems has grown into a full-fledged research topic. In the last
decade, Lie algebraic methods have grown in importance to various
fields of theoretical research and worked to establish close
relations between apparently unrelated systems. The various ideas
associated with Lie algebra and Lie groups can be used to form a
particularly elegant approach to the properties of nonlinear
systems. In this volume, the author exposes the basic techniques of
using Lie algebraic concepts to explore the domain of nonlinear
integrable systems. His emphasis is not on developing a rigorous
mathematical basis, but on using Lie algebraic methods as an
effective tool. The book begins by establishing a practical basis
in Lie algebra, including discussions of structure Lie, loop, and
Virasor groups, quantum tori and Kac-Moody algebras, and gradation.
It then offers a detailed discussion of prolongation structure and
its representation theory, the orbit approach-for both finite and
infinite dimension Lie algebra. The author also presents the modern
approach to symmetries of integrable systems, including important
new ideas in symmetry analysis, such as gauge transformations, and
the "soldering" approach. He then moves to Hamiltonian structure,
where he presents the Drinfeld-Sokolov approach, the Lie algebraic
approach, Kupershmidt's approach, Hamiltonian reductions and the
Gelfand Dikii formula. He concludes his treatment of Lie algebraic
methods with a discussion of the classical r-matrix, its use, and
its relations to double Lie algebra and the KP equation.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
