Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry - 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 Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry write by Vlastimil Dlab. This book was released on 2004. Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry available in PDF, EPUB and Kindle. These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ``Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.
Representations of Lie Algebras, Quantum Groups and Related Topics
Representations of Lie Algebras, Quantum Groups and Related Topics - 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 Lie Algebras, Quantum Groups and Related Topics write by Naihuan Jing. This book was released on 2018-08-21. Representations of Lie Algebras, Quantum Groups and Related Topics available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12–13, 2016, at North Carolina State University, Raleigh, North Carolina. The articles cover various aspects of representations of Kac–Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever–Novikov algebras, representations of quantum groups, and related topics.
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.
Representation of Lie Groups and Related Topics
Representation of Lie Groups and Related Topics - 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 Representation of Lie Groups and Related Topics write by Anatoliĭ Moiseevich Vershik. This book was released on 1990. Representation of Lie Groups and Related Topics available in PDF, EPUB and Kindle. Eight papers provide mature readers with careful review of progress (through about 1983) toward the creation of a theory of the representations of infinite-dimensional Lie groups and algebras, and of some related topics. Recent developments in physics have provided major impetus for the development of such a theory, and the volume will be of special interest to mathematical physicists (quantum field theorists). Translated from the Russian edition of unstated date, and beautifully produced (which--at the price--it should be!). Book club price, $118. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups
Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum 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 Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups write by Alexander Varchenko. This book was released on 1995-03-29. Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups available in PDF, EPUB and Kindle. This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals.
