Computational Methods for Representations of Groups and Algebras

Euroconference in Essen (Germany), April 1–5, 1977

I Introductory Articles.
1 Classification Problems in the Representation Theory of Finite-Dimensional Algebras.
2 Noncommutative Gröbner Bases, and Projective Resolutions.
3 Construction of Finite Matrix Groups.
II Keynote Articles.
4 Derived Tubularity: a Computational Approach.
5 Problems in the Calculation of Group Cohomology.
6 On a Tensor Category for the Exceptional Lie Groups.
7 Non-Commutative Gröbner Bases and Anick’s Resolution.
8 A new Existence Proof of Janko’s Simple Group J4.
9 The Normalization: a new Algorithm, Implementation and Comparisons.
10 A Computer Algebra Approach to sheaves over Weighted Projective Lines.
11 Open Problems in the Theory of Kazhdan-Lusztig polynomials.
12 Relative Trace Ideals and Cohen Macaulay Quotients.
13 On Sims’ Presentation for Lyons’ Simple Group.
14 A Presentation for the Lyons Simple Group.
15 Reduction of Weakly Definite Unit Forms.
16 Decision Problems in Finitely Presented Groups.
17 Some Algorithms in Invariant Theory of Finite Groups.
18 Coxeter Transformations associated with Finite Dimensional Algebras.
19 The 2-Modular Decomposition Numbers of Co2.
20 Bimodule and Matrix Problems.