Skip to main content
SpringerLink
Log in

Polynomial Identities in Algebras

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Onofrio Mario Di Vincenzo

    1. Dipartimento di Matematica, Informatica ed Economia, Università della Basilicata, Potenza, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Antonio Giambruno

    1. Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • A latest up to date state of the art in the theory of algebras with polynomial identity
  • Methods of representation theory of the symmetric and general linear group
  • A wide range of topics related to polynomial identities

Part of the book series: Springer INdAM Series (SINDAMS, volume 44)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (22 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Some Thoughts on the Current State of the Theory of Identical Relations in Lie Algebras

    • Yuri Bahturin
    Pages 1-24

  3. Minimal Degree of Identities of Matrix Algebras with Additional Structures

    • Dafne Bessades, Rafael Bezerra dos Santos, Ana Cristina Vieira
    Pages 25-36

  4. On the Asymptotics of Capelli Polynomials

    • Francesca Saviella Benanti, Angela Valenti
    Pages 37-56

  5. Regev’s Conjecture for Algebras with Hopf Actions

    • Allan Berele
    Pages 57-68

  6. ℓ-Weak Identities and Central Polynomials for Matrices

    • Guy Blachar, Eli Matzri, Louis Rowen, Uzi Vishne
    Pages 69-95

  7. Computing Multiplicities in the Sign Trace Cocharacters of M 2,1(F)

    • Luisa Carini
    Pages 97-108

  8. b-Generalized Skew Derivations on Multilinear Polynomials in Prime Rings

    • Vincenzo De Filippis, Giovanni Scudo, Feng Wei
    Pages 109-138

  9. Relatively Free Algebras of Finite Rank

    • Thiago Castilho de Mello, Felipe Yukihide Yasumura
    Pages 139-156

  10. Graded Algebras, Algebraic Functions, Planar Trees, and Elliptic Integrals

    • Vesselin Drensky
    Pages 157-194

  11. Central Polynomials of Algebras and Their Growth

    • Antonio Giambruno, Mikhail Zaicev
    Pages 195-209

  12. Trace Identities on Diagonal Matrix Algebras

    • Antonio Ioppolo, Plamen Koshlukov, Daniela La Mattina
    Pages 211-225

  13. Codimension Growth for Weak Polynomial Identities, and Non-integrality of the PI Exponent

    • Plamen Koshlukov, David Levi da Silva Macêdo
    Pages 227-268

  14. On Codimensions of Algebras with Involution

    • Daniela La Mattina
    Pages 269-278

  15. Context-Free Languages and Associative Algebras with Algebraic Hilbert Series

    • Roberto La Scala, Dmitri Piontkovski
    Pages 279-289

  16. On Almost Nilpotent Varieties of Linear Algebras

    • Sergey P. Mishchenko, Angela Valenti
    Pages 291-317

  17. (δ, ε)-Differential Identities of UT m(F)

    • Vincenzo C. Nardozza
    Pages 319-333

  18. Identities in Group Rings, Enveloping Algebras and Poisson Algebras

    • Victor Petrogradsky
    Pages 335-354

  19. Notes on the History of Identities on Group (and Loop) Algebras

    • C. Polcino Milies
    Pages 355-364

  20. Cayley Hamilton Algebras

    • Claudio Procesi
    Pages 365-381
Back to top

Keywords

About this book

This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.

Editors and Affiliations

  • Dipartimento di Matematica, Informatica ed Economia, Università della Basilicata, Potenza, Italy

    Onofrio Mario Di Vincenzo

  • Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy

    Antonio Giambruno

About the editors

Onofrio Mario Di Vincenzo has been a full professor of Algebra since 2000. He currently works at the University of Basilicata where he has been the head of the department for the last 8 years. His research interests focus on the polynomial identities of algebras, in particular in the presence of gradings or involutions acting on them.

Antonio Giambruno received his PhD in Mathematics from the University of Chicago in 1977 under the supervision of Israel N. Herstein. He became a professor at the department of mathematics of the University of Palermo in 1980. He has been a visiting researcher at numerous institutions, including University of Southern California, MSRI, University of Alberta, and University of San Paulo. His research focuses on noncommutative algebra, especially on polynomial identities and their connection with representation theory and asymptotic methods.

Bibliographic Information

  • Book Title: Polynomial Identities in Algebras

  • Editors: Onofrio Mario Di Vincenzo, Antonio Giambruno

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-3-030-63111-6

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-63110-9Published: 23 March 2021

  • Softcover ISBN: 978-3-030-63113-0Published: 23 March 2022

  • eBook ISBN: 978-3-030-63111-6Published: 22 March 2021

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: IX, 421

  • Number of Illustrations: 76 b/w illustrations

  • Topics: Algebra, Associative Rings and Algebras, Linear Algebra

Publish with us

Policies and ethics

Back to top

Search

Navigation