Computational aspects of polynomial identities

Author(s)

Bibliographic Information

Computational aspects of polynomial identities

Alexei Kanel-Belov, Louis Halle Rowen

(Research notes in mathematics, v. 9)

A.K. Peters, c2005

Available at  / 8 libraries

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Note

Includes bibliographical references (p. 359-372) and index.

Description and Table of Contents

Description

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.

Table of Contents

1. Basic Results 2. Affine Pl-algebras 3. T-ldeals and Relatively Free Algebras 4. Specht's Problem in the Affine Case 5. Representations of Sn and Their Applications 6. Superidentities and Kemer's Main Theorem 7. Pi-Algebras in Characteristic p 8. Recent Structural Results 9. Poincare-Hilbert Series and Gelfand-Kirillov Dimension 10. More Representation Theory 11. Unified Theory of Identities 12. Trace Identities 13. Exercises 14. Lists of Theorems and Examples 15. Some Open Questions

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Details

  • NCID
    BA71764610
  • ISBN
    • 1568811632
  • LCCN
    2004053474
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Wellesley, Mass.
  • Pages/Volumes
    xxi, 378 p.
  • Size
    24 cm
  • Parent Bibliography ID
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