Physical description 
1 online resource. 
Series 
Progress in Mathematics ; 173 

Progress in Mathematics ; ; 173.

Summary 
This book presents material from 3 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. The foundations of these research areas were laid in survey articles by P. Dr衸ler and R. N诲enberg on "Classification problems in the representation theory of finitedimensional algebras", R.A. Wilson on "Construction of finite matrix groups" and E. Green on "Noncommutative Gr询ner bases, and projective resolutions". 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 highperformance 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 finitedimensional 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 finitedimensional algebras. Open questions on Lie algebras, Bruhat orders, Coxeter groups and Kazhdan Lusztig polynomials are investigated with the aid of computer programs. The contents of this book provide an overview on the present state of the art. Therefore it will be very useful for graduate students and researchers in mathematics, computer science and physics. 
Other author 
Ringel, C. M.


Michler, G. O.

Subject 
Mathematics.


Mathematics. 

Electronic books. 
ISBN 
9783034887168 (electronic bk.) 

3034887167 (electronic bk.) 

3034887167 
