Representations of Groups contains papers presented at the Canadian Mathematical Society Annual Seminar held in June 1994, in Banff, Alberta. The material addresses representations of Lie groups, algebraic groups, finite groups, and quantum groups and the relationships among these areas. With both survey and research articles, this book offers the latest results on various aspects of representation theory of groups.

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

Readership

Graduate students and research mathematicians interested in the latest work on various aspects of representation theory of groups.

Table of Contents

• M. Broué, G. Malle, and R. Rouquier -- On complex reflection groups and their associated braid groups
• J. B. Carrell -- On the smooth points of a Schubert variety
• W. A. Casselman -- Automata to perform basic calculations in Coxeter groups
• V. Chari and A. Pressley -- Quantum affine algebras and their representations
• R. Dipper -- Hecke algebras and representations of finite reductive groups
• M. J. Dyer -- Representation theories from Coxeter groups
• V. G. Kac and S.-J. Kang -- Trace formula for graded Lie algebras and monstrous moonshine
• M. Kashiwara -- On crystal bases
• V. Lakshmibai -- Bases for quantum Demazure modules
• G. Lusztig -- Cuspidal local systems and graded Hecke algebras, II
• B. J. Parshall -- Koszul algebras and duality
• W. Rossmann -- Contour path integrals: Definitions and examples
• W. Soergel -- Roots of unity and positive characteristic
• B. Srinivasan -- Generalized Harish-Chandra theory for finite reductive groups
• M. Takeuchi -- \(q\)-Representations of quantum groups