Computational Methods for Representations of Groups and Algebras

Euroconference in Essen (Germany), April 1-5, 1997

AvP. Draexler,etc.

Inbunden, Engelska, 1999

Del i serien Progress in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1999-05-01
Format:Inbunden
Språk:Engelska
Serie:Progress in Mathematics
Antal sidor:376
Förlag:Birkhauser Verlag AG
ISBN:9783764360634

Utforska kategorier

Innehållsförteckning

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.