Stability in Modules for Classical Lie Algebras: A Constructive Approach - 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 Stability in Modules for Classical Lie Algebras: A Constructive Approach write by Georgia Benkart. This book was released on 1990. Stability in Modules for Classical Lie Algebras: A Constructive Approach available in PDF, EPUB and Kindle. In this work we consider the problem of determining information about representations as the rank grows large, in fact, tends to infinity. Here we show that the set of dominant weights stabilizes as the rank goes to infinity and the multiplicities become polynomials in the rank. In addition, we give effective, easily computable algorithms for determining the set of dominant weights and illustrate how to calculate their multiplicity polynomials.
Yangians and Classical Lie Algebras
Yangians and Classical Lie Algebras - 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 Yangians and Classical Lie Algebras write by Alexander Molev. This book was released on 2007. Yangians and Classical Lie Algebras available in PDF, EPUB and Kindle. The Yangians and twisted Yangians are remarkable associative algebras taking their origins from the work of St. Petersburg's school of mathematical physics in the 1980s. This book is an introduction to the theory of Yangians and twisted Yangians, with a particular emphasis on the relationship with the classical matrix Lie algebras.
Projective Modules over Lie Algebras of Cartan Type
Projective Modules over Lie Algebras of Cartan Type - 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 Projective Modules over Lie Algebras of Cartan Type write by Daniel Ken Nakano. This book was released on 1992. Projective Modules over Lie Algebras of Cartan Type available in PDF, EPUB and Kindle. This paper investigates the question of linkage and block theory for Lie algebras of Cartan type. The second part of the paper deals mainly with block structure and projective modules of Lies algebras of types W and K.
Lie Algebras and Their Representations
Lie Algebras 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 Lie Algebras and Their Representations write by Seok-Jin Kang. This book was released on 1996. Lie Algebras and Their Representations available in PDF, EPUB and Kindle. Over the past 30 years, exciting developments in diverse areas of the theory of Lie algebras and their representations have been observed. The symposium covered topics such as Lie algebras and combinatorics, crystal bases for quantum groups, quantum groups and solvable lattice models, and modular and infinite-dimensional Lie algebras. In this volume, readers will find several excellent expository articles and research papers containing many significant new results in this area.
Representations and Invariants of the Classical Groups
Representations and Invariants of the Classical 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 and Invariants of the Classical Groups write by Roe Goodman. This book was released on 2000-01-13. Representations and Invariants of the Classical Groups available in PDF, EPUB and Kindle. More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.
