Among several tools used in studying representations of quantum groups (or quantum algebras) are the notions of Kashiwara's crystal bases and Lusztig's canonical bases. Mixing both approaches allows us to use a combinatorial approach to representations of quantum groups and to a…
The purpose of this book is to provide an elementary introduction to the theory of quantum groups and crystal bases, focusing on the combinatorial aspects of the theory.
Representations of algebraic groups, quantum groups, and Lie algebras: AMS-IMS-SIAM Joint Summer Research Conference, Ju…
by AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, Snowbird, Utah), AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Groups, Quantum Groups, and Lie Algebras
fromContemporary mathematics (American Mathematical Society)
Representations of Algebraic Groups, Quantum Groups, and Lie Algebras
by Benkart, Georgia, Institute of Mathematical Sciences (New York, N.Y.), Society for Industrial and Applied Mathematics (U.S.), AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences, (Snowbird (UT)), American Mathematical Society, AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, (Snowbird (UT))
Representations of algebraic groups, quantum groups, and Lie algebras: AMS-IMS-SIAM Joint Summer Research Conference, Ju…
by AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, Snowbird, Utah), AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Groups, Quantum Groups, and Lie Algebras
fromContemporary mathematics (American Mathematical Society)
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 …