Books > Science & Mathematics > Mathematics
|
Buy Now
Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces (Hardcover, 2004 ed.)
Loot Price: R1,647
Discovery Miles 16 470
|
|
Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces (Hardcover, 2004 ed.)
Series: Mathematics and Its Applications, 573
Expected to ship within 12 - 17 working days
|
As K. Nomizu has justly noted [K. Nomizu, 56], Differential
Geometry ever will be initiating newer and newer aspects of the
theory of Lie groups. This monograph is devoted to just some such
aspects of Lie groups and Lie algebras. New differential geometric
problems came into being in connection with so called subsymmetric
spaces, subsymmetries, and mirrors introduced in our works dating
back to 1957 [L.V. Sabinin, 58a,59a,59b]. In addition, the
exploration of mirrors and systems of mirrors is of interest in the
case of symmetric spaces. Geometrically, the most rich in content
there appeared to be the homogeneous Riemannian spaces with systems
of mirrors generated by commuting subsymmetries, in particular, so
called tri-symmetric spaces introduced in [L.V. Sabinin, 61b]. As
to the concrete geometric problem which needs be solved and which
is solved in this monograph, we indicate, for example, the problem
of the classification of all tri-symmetric spaces with simple
compact groups of motions. Passing from groups and subgroups
connected with mirrors and subsymmetries to the corresponding Lie
algebras and subalgebras leads to an important new concept of the
involutive sum of Lie algebras [L.V. Sabinin, 65]. This concept is
directly concerned with unitary symmetry of elementary par- cles
(see [L.V. Sabinin, 95,85] and Appendix 1). The first examples of
involutive (even iso-involutive) sums appeared in the - ploration
of homogeneous Riemannian spaces with and axial symmetry. The
consideration of spaces with mirrors [L.V. Sabinin, 59b] again led
to iso-involutive sums.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Mathematics and Its Applications, 573 |
Release date: |
August 2004 |
First published: |
2004 |
Authors: |
Lev V Sabinin
|
Dimensions: |
235 x 155 x 19mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
312 |
Edition: |
2004 ed. |
ISBN-13: |
978-1-4020-2544-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
1-4020-2544-0 |
Barcode: |
9781402025440 |
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..
|