ABSTRACT

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. This edition gives all the details involved in Kemer's proof of Specht's conjecture for affine PI-algebras in characteristic 0.The

part 1|2 pages

Part I: Basic Associative PI-Theory

chapter 1|74 pages

Basic Results

part 2|2 pages

Part II: Affine PI-Algebras

chapter 4|26 pages

The Braun-Kemer-Razmyslov Theorem

chapter 5|20 pages

Kemer’s Capelli Theorem

part 3|2 pages

Part III: Specht’s Conjecture

chapter 8|16 pages

Trace Identities

chapter 9|32 pages

PI-Counterexamples in Characteristic p

chapter 10|10 pages

Recent Structural Results

chapter 12|12 pages

More Representation Theory

chapter 4|2 pages

Part IV: Supplementary Material