Webb17 jan. 2024 · This unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by Kashiwara and Lusztig from the perspective of quantum groups. Its power comes from the fact that it addresses many questions in representation theory and mathematical physics by … WebbIn particular, the theory of ``crystal bases'' or ``canonical bases'' developed independently by M. Kashiwara and G. Lusztig provides a powerful combinatorial and geometric tool to study the representations of quantum groups. The purpose of this book is to provide an elementary introduction to the theory of quantum groups and crystal bases ...
Perfect Bases for Integrable Modules over Generalized Kac …
Webb7 sep. 2024 · M. Kashiwara, On crystal bases of the q-analogue of universal enveloping algebras, Duke Math. J. 63 (1991), 465–516. Article MathSciNet Google Scholar M. Kashiwara, The crystal base and Littelmann’s refined Demazure character formula, Duke Math. J. 71 (1993), 839–858. Article MathSciNet Google Scholar Webb12 dec. 2007 · M. Kashiwara, On crystal bases of the q-analogue of universal enveloping algebras, Duke Math. J. 63 (1991) 465-516. M. Kashiwara , The Riemann-Hilbert problem for holonomic systems, Publ. RIMS, Kyoto Univ. 20 (1984) 319-365. sarah newland chelsea mi
crystal basis in nLab
Webb22 dec. 2009 · Kashiwara, M.: Global crystal bases of quantum groups. Duke Math. J. 69, 455–485 (1993) Article MATH MathSciNet Google Scholar Kang, S.-J.: Quantum deformations of generalized Kac–Moody algebras and their modules. J. Algebra 175, 1041–1066 (1995) Article MATH MathSciNet Google Scholar WebbDownload or read book Introduction to Quantum Groups and Crystal Bases written by Jin Hong and published by American Mathematical Soc.. This book was released on 2002 ... the theory of ``crystal bases'' or ``canonical bases'' developed independently by M. Kashiwara and G. Lusztig provides a powerful combinatorial and geometric tool to … WebbCrystal base. A crystal base for a representation of a quantum group on a -vector space is not a base of that vector space but rather a -base of where is a -lattice in that vector … shosenkyo gorge