Representation Theory of Algebraic Groups and Quantum Groups
This volumeis an outgrowthof theconference“RepresentationTheoryofAlgebraic Groups and Quantum Groups 06” held at Nagoya University, June 12–17, 2006, as the 6th International Conference by the Graduate School of Mathematics, Nagoya University. This conference was planned as a continuation of the conference of the same name held at Sophia University, Tokyo in the summer of 2001. The aim of the conferencewastofocusonrecentdevelopmentsintherepresentationtheoryofal- braic groups and quantum groups established after the previous conference. During the conference, 23 lectures were delivered by invited speakers, which cover topics such as the modularrepresentationsof algebraicgroups,representationsof quantum groups and crystal bases, representations of af ne Lie algebras, representations of Lie algebras in positive characteristic, representations of Hecke algebras, repres- tations of double af ne Hecke algebras and Cherednik algebras. There were 132 participants at the conference, including 48 from abroad. This volume contains 13 articles (plus one appendix) contributed by invited speakers from the conference. We would like to thank all the participants for their participation and interest in the conference, and in particular the speakers who agreed to write articles for this volume.We also thanktheGrant-in-AidforScienti cResearchbytheJapanSociety for the Promotion of Science for nancial support. Last but not least, we wish to thank Ms. Kazuko Kozaki and other secretaries from the Graduate School of Mathematics, Nagoya University for their dedicated support of the conference, and also for the editorial work done on this volume.
Invited articles by top-notch expertsFocus is on topics in representation theory of algebraic groups and quantum groupsOf interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics