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.
Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups
Multidimensional Hypergeometric Functions and 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 and Representation Theory of Lie Algebras and Quantum Groups write by Aleksandr Nikolaevich Varchenko. This book was released on 1995. Multidimensional Hypergeometric Functions and 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.
Special Functions, KZ Type Equations, and Representation Theory
Special Functions, KZ Type Equations, and Representation Theory - 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 Special Functions, KZ Type Equations, and Representation Theory write by Aleksandr Nikolaevich Varchenko. This book was released on 2003. Special Functions, KZ Type Equations, and Representation Theory available in PDF, EPUB and Kindle. The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its sqs-deformations. In the book, the author discusses the interplay between Knizhnik-Zamolodchikov type equations, the Bethe ansatz method, representation theory, and geometry of multi-dimensional hypergeometric functions. This book aims to provide an introduction to the area and expose different facets of the subject. It contains constructions, discussions of notions, statements of main results, and illustrative examples. The exposition is restricted to the simplest case of the theory associated with the Lie algebra s\mathfrak{sl 2s. This book is intended for researchers and graduate students in mathematics and in mathematical physics, in particular to those interested in applications of special functions.
Lie Algebras, Cohomology, and New Applications to Quantum Mechanics,
Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, - 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, Cohomology, and New Applications to Quantum Mechanics, write by Niky Kamran. This book was released on 1994-01-01. Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, available in PDF, EPUB and Kindle. This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrodinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a "hidden" symmetry group whose representation theory can still be employed to analyze at least part of the spectrum of the operator. In light of the rapid developments in this subject, a Special Session was organized at the AMS meeting at Southwest Missouri State University in March 1992 in order to bring together, perhaps for the first time, mathematicians and physicists working in closely related areas. The contributions to this volume cover Lie group methods, Lie algebras and Lie algebra cohomology, representation theory, orthogonal polynomials, q-series, conformal field theory, quantum groups, scattering theory, classical invariant theory, and other topics. This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
Quantum Cohomology
Quantum Cohomology - 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 Quantum Cohomology write by K. Behrend. This book was released on 2004-10-12. Quantum Cohomology available in PDF, EPUB and Kindle. The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-geometric point of view, to the symplectic approach, including recent developments of string-branes theories and q-hypergeometric functions.
