Computational Aspects of Polynomial Identities

Alexei Kanel-Belov, Louis Halle-Rowen - Collection Research Notes in Mathematics

378 pages, parution le 19/04/2005

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Résumé

A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation.

The authors also cover codimension theory, starting with Regev's theorem and continuing through the Giambruno-Zaicev exponential rank.

The "best" proofs of classical results, such as the existence of central polynomials, the tensor product theorem, the nilpotence of the radical of an affine PI-algebra, Shirshov's theorem, and characterization of group algebras with PI, are presented.

Sommaire

Preface
Symbols Commonly Used in Text
Basic results
Affine PI-algebras
T-Ideals and Relatively Free Algebras
Specht's Problem in the Affine Case
Representations of S_n and Their Applications
Superidentities and Kemer's Main Theorem
PI-Algebras in Characteristic p
Recent Structural Results
Poincare-Hilbert Series and Gelfand-Kirillov Dimension
More Representation Theory
Unified Theory of Identities
Trace Identities
Exercices
Lists of Theorems and Examples
Some Open Questions
Bibliography
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	AK Peters
Auteur(s)	Alexei Kanel-Belov, Louis Halle-Rowen
Collection	Research Notes in Mathematics
Parution	19/04/2005
Nb. de pages	378
Format	15,5 x 23,5
Couverture	Relié
Poids	638g
Intérieur	Noir et Blanc
EAN13	9781568811635
ISBN13	978-1-56881-163-5