Computational Aspects of Polynomial Identities Volume 1 Kemers Theorems 2nd Edition Alexei Kanel Belov, Yakov Karasik, Louis Halle Rowen 0429174268 9780429174261
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Computational Aspects of Polynomial Identities Volume 1 Kemers Theorems 2nd Edition Alexei Kanel Belov, Yakov Karasik, Louis Halle Rowen – Ebook PDF Instant Download/Delivery: 0429174268, 9780429174261
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Product details:
ISBN 10: 0429174268
ISBN 13: 9780429174261
Author: Alexei Kanel-Belov; Yakov Karasik; Louis Halle Rowen
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
Table of contents:
I Basic Associative PI-Theory
1 Basic Results
2 A Few Words Concerning Affine PI-Algebras: Shirshov’s Theorem
3 Representations of Sn and Their Applications
II Affine PI-Algebras
4 The Braun-Kemer-Razmyslov Theorem
5 Kemer’s Capelli Theorem
III Specht’s Conjecture
6 Specht’s Problem and Its Solution in the Affine Case (Characteristic 0)
7 Superidentities and Kemer’s Solution for Non-Affine Algebras
8 Trace Identities
9 PI-Counterexamples in Characteristic p
10 Recent Structural Results
11 Poincaré-Hilbert Series and Gel’fand-Kirillov Dimension
12 More Representation Theory
IV Supplementary Material
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Tags: Alexei Kanel Belov, Yakov Karasik, Louis Halle Rowen, Computational