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Computational Methods for Representations of Groups and Algebras - Euroconference in Essen (Germany), April 1-5, 1997 (Hardcover)
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Computational Methods for Representations of Groups and Algebras - Euroconference in Essen (Germany), April 1-5, 1997 (Hardcover)
Series: Progress in Mathematics, v173
Expected to ship within 12 - 17 working days
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Total price: R2,602
Discovery Miles: 26 020
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This book presents material from 3 survey lectures and 14
additional invited lectures given at the Euroconference
"Computational Methods for Representations of Groups and Algebras"
held at Essen University in April 1997. The purpose of this meeting
was to provide a survey of general theoretical and computational
methods and recent advances in the representation theory of groups
and algebras. The foundations of these research areas were laid in
survey articles by P. DrAxler and R. NArenberg on "Classification
problems in the representation theory of finite-dimensional
algebras," R. A. Wilson on "Construction of finite matrix groups"
and E. Green on "Noncommutative GrAbner bases, and projective
resolutions." Furthermore, new applications of the computational
methods in linear algebra to the revision of the classification of
finite simple sporadic groups are presented. Computational tools
(including high-performance computations on supercomputers) have
become increasingly important for classification problems. They are
also inevitable for the construction of projective resolutions of
finitely generated modules over finite-dimensional algebras and the
study of group cohomology and rings of invariants. A major part of
this book is devoted to 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 on Lie algebras, Bruhat orders, Coxeter groups and
Kazhdan Lusztig polynomials are investigated with the aid of
computer programs. The contents of this book provide an overview on
the present state of the art. Therefore it will be very useful for
graduate students and researchers in mathematics, computer science
and physics.
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