Real Reductive Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Real Reductive Groups write by Nolan R. Wallach. This book was released on 1988. Real Reductive Groups available in PDF, EPUB and Kindle.
Lie Groups, Lie Algebras, and Representations
Lie Groups, Lie Algebras, and Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups, Lie Algebras, and Representations write by Brian Hall. This book was released on 2015-05-11. Lie Groups, Lie Algebras, and Representations available in PDF, EPUB and Kindle. This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette
Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118
Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 write by David A. Vogan Jr.. This book was released on 2016-03-02. Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 available in PDF, EPUB and Kindle. This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Representations of Reductive Groups
Representations of Reductive Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Reductive Groups write by Roger W. Carter. This book was released on 1998-09-03. Representations of Reductive Groups available in PDF, EPUB and Kindle. This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Compact Lie Groups and Their Representations
Compact Lie Groups and Their Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Lie Groups and Their Representations write by Dmitriĭ Petrovich Zhelobenko. This book was released on 1973-01-01. Compact Lie Groups and Their Representations available in PDF, EPUB and Kindle.
