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.
... 2001 Edward Frenkel and David Ben-Zvi, Vertex algebras and algebraic curves, second edition, 2004 Bruno Poizat, Stable groups, 2001 Stanley N. Burris, Number theoretic density and logical limit laws, 2001 V. A. Kozlov, V. G. Maz'ya, ...
... 2016 61 James Arthur, The Endoscopic Classification of Representations, 2013 60 László Lovász, Large Networks and Graph Limits, 2012 59 Kai Cieliebak and Yakov Eliashberg, From Stein to Weinstein and Back, 2012 58 Freydoon Shahidi, ...
Polynomial Identities and Combinatorial Methods presents a wide range of perspectives on topics ranging from ring theory and combinatorics to invariant theory and associative algebras.
... polynomial identities and invariants of n×n matrices, CBMS Regional Conference Series in Mathematics 78, Amer. Math. Soc ... asymptotic methods, A.M.S. Mathematical Surveys and Monographs 122 (2005). Golod, E.S., On nil-algebras and ...
This book is based on lectures delivered during an NSF-CBMS Regional Conference, held at DePaul University in July 1990, at which the author was the principal lecturer. The first part of the book is concerned with polynomial identity rings.
Translation: Algebra and Logic 13 (1974), 192–204. Yu.P. Razmyslov, Identities of Algebras and Their Representations (Russian), “Sovremennaya Algebra”, “Nauka”, Moscow, 1989. Translation: Translations of Math.
A polynomial identity for an algebra (or a ring) A is a polynomial in noncommutative variables that vanishes under any evaluation in A. An algebra satisfying a nontrivial polynomial identity is call a PI algebra, and this is the main object ...
Polynomial Identities in Ring Theory
... finite basis identities of identities of Lie algebra representations , Nova J. Algebra Geom . 1 ( 1992 ) , no . 3 , 207–259 . ( Ilt03 ] Iltyakov , A. V. , Polynomial identities of Finite Dimensional Lie Algebras , monograph ( 2003 ) ...
Rings with Polynomial Identities