Loops in Group Theory and Lie Theory
Title | Loops in Group Theory and Lie Theory PDF eBook |
Author | Péter Nagy |
Publisher | Walter de Gruyter |
Pages | 377 |
Release | 2011-06-24 |
Genre | Mathematics |
ISBN | 3110900580 |
In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms. The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups. The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry.
Loops in Group and Lie Theory
Title | Loops in Group and Lie Theory PDF eBook |
Author | Péter T. Nagy |
Publisher | |
Pages | 0 |
Release | 2002 |
Genre | Lie groups |
ISBN |
Langlands Correspondence for Loop Groups
Title | Langlands Correspondence for Loop Groups PDF eBook |
Author | Edward Frenkel |
Publisher | Cambridge University Press |
Pages | 5 |
Release | 2007-06-28 |
Genre | Mathematics |
ISBN | 0521854431 |
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Lie Groups and Lie Algebras I
Title | Lie Groups and Lie Algebras I PDF eBook |
Author | V.V. Gorbatsevich |
Publisher | Springer Science & Business Media |
Pages | 241 |
Release | 2013-12-01 |
Genre | Mathematics |
ISBN | 364257999X |
From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter
Lie Groups and Lie Algebras I
Title | Lie Groups and Lie Algebras I PDF eBook |
Author | V.V. Gorbatsevich |
Publisher | Springer Science & Business Media |
Pages | 552 |
Release | 1996-12-18 |
Genre | Mathematics |
ISBN | 9783540612223 |
From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter
Lie Groups
Title | Lie Groups PDF eBook |
Author | Harriet Suzanne Katcher Pollatsek |
Publisher | MAA |
Pages | 194 |
Release | 2009-09-24 |
Genre | Mathematics |
ISBN | 9780883857595 |
This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called 'Putting the pieces together' in which all definitions and results are collected for reference and further reading is suggested.
Theory of Lie Groups
Title | Theory of Lie Groups PDF eBook |
Author | Claude Chevalley |
Publisher | Courier Dover Publications |
Pages | 227 |
Release | 2018-03-21 |
Genre | Mathematics |
ISBN | 0486824535 |
The standard text on the subject for many years, this introductory treatment covers classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. 1946 edition.