Authors:A.L. Onishchik, E.B. Vinberg, E.B. Vinberg, B.L. Feig
Publisher: Springer
Keywords: lie, algebras, groups
Number of Pages: 223
Published: 2000-02-03
List price: $149.00
ISBN-10: 3540505857
ISBN-13: 9783540505853

The first part of this book on Discrete Subgroups of Lie Groups is written by E. B. Vinberg, V. V. Gorbatsevich, and O. V. Shvartsman. Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables, arithmetic, geometry, and crystallography. Since the foundation of their general theory in the 50-60s of this century, considerable and in many respects exhaustive results were obtained. This development is reflected in this survey. Both semisimple and general Lie groups are considered. Part II on Cohomologies of Lie Groups and Algebras is written by B. L. F

Author: E. B. Vinberg
Publisher: American Mathematical Society
Keywords: mathematics, studies, graduate, vol, algebra, course
Number of Pages: 511
Published: 2003-04-29
List price: $89.00
ISBN-10: 0821833189
ISBN-13: 9780821833186

This is a comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. The effort spent on the part of students in absorbing these ideas will pay off when they turn to solving pro

Author: E.B. Vinberg
Publisher: Birkhäuser Basel
Keywords: texts, basler, lehrbã¼cher, advanced, birkhã¤user, representations, groups, linear
Number of Pages: 156
Published: 1989-07-24
List price: $59.95
ISBN-10: 3764322888
ISBN-13: 9783764322885

This textbook contains a comprehensive and detailed exposition of the fundamentals of the representation theory of groups, especially of finite groups and compact groups. The exposition is based on the decomposition of the two-sided regular representation. This enables the author to give not only an abstract description of the representations but also their realizations in function spaces, which is important for physical applications. As an example, the theory of Laplace spherical functions is treated. Some basic ideas of the representation theory of Lie groups are also given, as well as all

Authors:S. G. Gindikin, E. B. Vinberg,
Publisher: American Mathematical Society
Keywords: lie, society, translations, series, mathematical, seminar, groups, algebras, dynkin, american
Number of Pages: 202
Published: 1995-09
List price: $103.00
ISBN-10: 0821804545
ISBN-13: 9780821804544

In celebration of E. B. Dynkin’s 70th birthday, this book presents current papers by those who participated in Dynkin’s seminar on Lie groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who attended his seminar---many of whom are today’s leading mathematicians in Russia and in the U. S. Dynkin’s contributions to the theory of Lie groups is well known, and the survey paper by Karpelevich, Onishchik, and Vinberg allows readers to gain a deeper understanding of this wo

Authors:V.V. Gorbatsevich, A.L. Onishchik, E.B. Vinberg, A.L.
Publisher: Springer
Keywords: lie, groups, transformation, theory, foundations
Number of Pages: 235
Published: 1997-02-14
List price: $74.95
ISBN-10: 354061222X
ISBN-13: 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 Mathematic

Authors:A.L. Onishchik, E.B. Vinberg, A.L. Onishchik, E.B. Vi
Publisher: Springer
Keywords: lie, algebras, groups, sciences, mathematical, iii, structure, encyclopaedia
Number of Pages: 248
Published: 1994-06-24
List price: $149.00
ISBN-10: 3540546839
ISBN-13: 9783540546832

The book contains a comprehensive account of the structure and classification of Lie groups and finite-dimensional Lie algebras (including semisimple, solvable, and of general type). In particular, a modern approach to the description of automorphisms and gradings of semisimple Lie algebras is given. A special chapter is devoted to models of the exceptional Lie algebras. The book contains many tables and will serve as a reference. At the same time many results are accompanied by short proofs. Onishchik and Vinberg are internationally known specialists in their field and well-known for their mo