LEADER 04160nam 22006255 450 001 9910484534203321 005 20251113182842.0 010 $a3-030-63111-7 024 7 $a10.1007/978-3-030-63111-6 035 $a(CKB)4100000011807254 035 $a(MiAaPQ)EBC6524965 035 $a(Au-PeEL)EBL6524965 035 $a(OCoLC)1243263230 035 $a(PPN)254721567 035 $a(DE-He213)978-3-030-63111-6 035 $a(EXLCZ)994100000011807254 100 $a20210322d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPolynomial Identities in Algebras /$fedited by Onofrio Mario Di Vincenzo, Antonio Giambruno 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (424 pages) $cillustrations 225 1 $aSpringer INdAM Series,$x2281-5198 ;$v44 311 08$a3-030-63110-9 327 $aY. Bahturin, Some thoughts on the current state on the theory of identical relations in Lie algebras -- D. Bessades et al., Minimal degree of identities of matrix algebras with additional structures -- F. S. Benanti and A. Valenti, On the asymptotics of Capelli polynomials -- A. Berele, Regev?s conjecture for algebras with Hopf actions -- G. Blachar et al., l-Weak identities and central polynomials for matrices -- L. Carini, Computing multiplicities in the sign trace cocharacters of M12 (F) -- V. De Filippis et al., b-Generalized skew derivations on multilinear polynomials in prime rings -- T. C. de Mello and F. Y. Yasumura, Relatively free algebras of finite rank -- V. Drensky, Graded algebras, algebraic functions, planar trees and elliptic integrals -- A. Giambruno and M. Zaicev, Central polynomials of algebras and their growth -- A. Ioppolo et al., Trace identities on diagonal matrix algebras -- P. Koshlukov and D. Macedo, Codimension growth for weak polynomial identities, and non-integrality of the PI exponent -- D. La Mattina, On codimensions of algebras with involution -- R. La Scala and D. Piontkovski, Context-free languages and associative algebras with algebraic Hilbert series -- S. P. Mishchenko and A. Valenti, On almost nilpotent varieties of linear algebras -- V. Nardozza, (?,?)-Differential identities of UTm(F) -- V. Petrogradsky, Identities in group rings, enveloping algebras and Poisson algebras -- C. Polcino Milies, Notes on the history of identities on group (and loop) algebras -- C. Procesi, Cayley Hamilton algebras -- C. Rizzo, Growth of differential identities -- S. Siciliano, Derived lengths of symmetric Poisson algebras -- E. Spinelli, Group and polynomial identities in group rings. 330 $aThis volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field. 410 0$aSpringer INdAM Series,$x2281-5198 ;$v44 606 $aAlgebra 606 $aAssociative rings 606 $aAssociative algebras 606 $aAlgebras, Linear 606 $aAlgebra 606 $aAssociative Rings and Algebras 606 $aLinear Algebra 615 0$aAlgebra. 615 0$aAssociative rings. 615 0$aAssociative algebras. 615 0$aAlgebras, Linear. 615 14$aAlgebra. 615 24$aAssociative Rings and Algebras. 615 24$aLinear Algebra. 676 $a512.4 702 $aDi Vincenzo$b Onofrio Mario 702 $aGiambruno$b A. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484534203321 996 $aPolynomial identities in algebras$91897489 997 $aUNINA