Computational methods for representations of groups and algebras : Euroconference in Essen (Germany), April 1-5, 1997

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Bibliographic Information

Computational methods for representations of groups and algebras : Euroconference in Essen (Germany), April 1-5, 1997

P. Dräxler, G.O. Michler, C.M. Ringel, editors

（Progress in mathematics, v. 173）

Birkhäuser, c1999

  • : us
  • : sz

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Includes bibliographies

"This book presents ... given at the Euroconference "Computational Methods for Representations of Groups and Algebras" held at Essen University" -- Back cover

Description and Table of Contents

Description

This work is 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 including Lie algebras, Bruhat orders and Coxeter groups are investigated with the aid of computer algebras.

Table of Contents

  • Part 1 Introductory articles: classification problems in the representation theory of finite-dimensional algebras
  • noncommutative Grobner bases, and projective resolutions
  • construction of finite matrix groups. Part 2 Keynote articles: derived tubularity - a computational approach
  • problems in the calculation of group cohomology
  • on a tensor category for the exceptional Lie groups
  • non-commutative Grobner bases and Anick's resolution
  • a new existence proof of Janko's simple group "J4"
  • the normalization - a new algorithm, implementation and comparisons
  • a computer algebra approach to sheaves over weighted projective lines
  • open problems in the theory of Kazhdan-Lusztig polynomials
  • relative trace ideals and Cohen Macaulay quotients
  • on Sims' presentation of Lyons' simple group
  • a presentation for the Lyons simple group
  • reduction of weakly definite unit forms
  • decision problems in finitely presented groups
  • some algorithms in invariant theory of finite groups
  • coxeter transformations associated with finite dimensional algebras
  • the 2-modular decomposition numbers of "CO2"
  • bimodule and matrix problems.

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