1 option
Rings with polynomial identities and finite dimensional representations of algebras / Eli Aljadeff, Antonio Giambruno, Claudio Procesi, Amitai Regev.
Math/Physics/Astronomy Library QA1 .A5225 v.66
Available
- Format:
- Book
- Author/Creator:
- Aljadeff, Eli (Eliahu), 1956- author.
- Giambruno, A., author.
- Procesi, Claudio, author.
- Regev, Amitai, author.
- Series:
- Colloquium publications (American Mathematical Society) ; v. 66.
- American Mathematical Society colloquium publications, 0065-9258 ; volume 66
- Language:
- English
- Subjects (All):
- Polynomial rings.
- PI-algebras.
- Representations of algebras.
- Physical Description:
- xii, 630 pages : illustrations ; 27 cm.
- Place of Publication:
- [Providence, Rhode Island] : American Mathematical Society, [2020]
- Contents:
- Noncommutative algebra
- Universal algebra
- Symmetric functions and matrix invariants
- Polynomial maps
- Azumaya algebras and irreducible representations
- Tensor symmetry
- Growth
- Shirshov's height theorem
- 2 x 2 matrices
- Matrix identities
- Structure theorems
- Invariants and trace identities
- Involutions and matrices
- A geometric approach
- Spectrum and dimension
- The nilpotent radical
- Finite-dimensional and affine PI algebras
- The relatively free algebras
- Identities and superalgebras
- The Specht problem
- The PI-exponent
- Codimension growth for matrices
- Codimension growth for algebras satisfying a Capelli identity.
- Notes:
- Includes bibliographical references (pages 605-621) and index.
- ISBN:
- 9781470451745
- 1470451743
- OCLC:
- 1154985850
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.