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OverviewI Introductory Articles.- 1 Classification Problems in the Representation Theory of Finite-Dimensional Algebras.- 2 Noncommutative Gr�bner 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 Gr�bner 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. Full Product DetailsAuthor: P. Draexler , etc.Publisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Volume: v173 ISBN: 9783764360634ISBN 10: 3764360631 Pages: 372 Publication Date: June 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Out of Stock Indefinitely Availability: Out of stock Table of ContentsPart 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |