Computational methods for representations of groups and algebras : Euroconference in Essen (Germany), April 1-5, 1997
著者
書誌事項
Computational methods for representations of groups and algebras : Euroconference in Essen (Germany), April 1-5, 1997
（Progress in mathematics, v. 173）
Birkhäuser, c1999
- : us
- : sz
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注記
Includes bibliographies
"This book presents ... given at the Euroconference "Computational Methods for Representations of Groups and Algebras" held at Essen University" -- Back cover
内容説明・目次
内容説明
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.
目次
- 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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