Lie Groups Lie Algebras And Cohomology PDF Download
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Author | : Anthony W. Knapp |
Publisher | : Princeton University Press |
Total Pages | : 522 |
Release | : 1988-05-21 |
Genre | : Mathematics |
ISBN | : 069108498X |
Download Lie Groups, Lie Algebras, and Cohomology Book in PDF, ePub and Kindle
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
Author | : Josi A. de Azcárraga |
Publisher | : Cambridge University Press |
Total Pages | : 480 |
Release | : 1998-08-06 |
Genre | : Mathematics |
ISBN | : 9780521597005 |
Download Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics Book in PDF, ePub and Kindle
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Author | : Anthony W. Knapp |
Publisher | : Springer Science & Business Media |
Total Pages | : 622 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475724535 |
Download Lie Groups Beyond an Introduction Book in PDF, ePub and Kindle
Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups.
Author | : Anthony W. Knapp |
Publisher | : Princeton University Press |
Total Pages | : 526 |
Release | : 2021-01-12 |
Genre | : Mathematics |
ISBN | : 0691223807 |
Download Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34 Book in PDF, ePub and Kindle
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
Author | : D B Fuks |
Publisher | : |
Total Pages | : 352 |
Release | : 1986-12-31 |
Genre | : |
ISBN | : 9781468487664 |
Download Cohomology of Infinite-Dimensional Lie Algebras Book in PDF, ePub and Kindle
Author | : Robert Gilmore |
Publisher | : Courier Corporation |
Total Pages | : 610 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486131564 |
Download Lie Groups, Lie Algebras, and Some of Their Applications Book in PDF, ePub and Kindle
This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
Author | : José Adolfo de Azcárraga |
Publisher | : |
Total Pages | : 455 |
Release | : 1995 |
Genre | : |
ISBN | : |
Download Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics Book in PDF, ePub and Kindle
Author | : B.P. Komrakov |
Publisher | : Springer Science & Business Media |
Total Pages | : 442 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401152586 |
Download Lie Groups and Lie Algebras Book in PDF, ePub and Kindle
This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations.
Author | : Alexander A. Kirillov |
Publisher | : Cambridge University Press |
Total Pages | : 237 |
Release | : 2008-07-31 |
Genre | : Mathematics |
ISBN | : 0521889693 |
Download An Introduction to Lie Groups and Lie Algebras Book in PDF, ePub and Kindle
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author | : A.L. Onishchik |
Publisher | : Boom Koninklijke Uitgevers |
Total Pages | : 238 |
Release | : 2000-02-03 |
Genre | : Mathematics |
ISBN | : 9783540505853 |
Download Lie Groups and Lie Algebras II Book in PDF, ePub and Kindle
A systematic survey of all the basic results on the theory of discrete subgroups of Lie groups, presented in a convenient form for users. The book makes the theory accessible to a wide audience, and will be a standard reference for many years to come.