Product Description

This book presents material from three survey lectures and 14 additional invited lectures given at the Euroconference "Computational Methods for Representations of Groups and Algebras" held at Essen University in April 1997. The purpose of this meeting was to provide a survey of general theoretical and computational methods and recent advances in the representation theory of groups and algebras. Furthermore, new applications of the computational methods in linear algebra to the revision of the classification of finite simple sporadic groups are presented. Computational tools (including high-performance computations on supercomputers) have become increasingly important for classification problems. They are also inevitable for the construction of projective resolutions of finitely generated modules over finite-dimensional algebras and the study of group cohomology and rings of invariants.

A major part of this book is devoted to a survey of algorithms for computing special examples in the study of Grothendieck groups, quadratic forms and derived categories of finite-dimensional algebras. Open questions on Lie algebras, Bruhat orders, Coxeter groups and Kazhdan Lusztig polynomials are investigated with the aid of computer programs. The representation theory of finite groups and finite-dimensional algebras are linked by the condensation technique. The contents of this book provide an overview on the present state of the art, for graduate students and researchers in mathematics, computer science and physics.

Series: Progress in Mathematics, Vol. 173

Product Details

• Amazon Sales Rank: #213782 in eBooks
• Published on: 1999-05-31
• Format: Kindle Book
• Number of items: 1