Asymptotics of graded codimension of upper triangular matrices
type: Item
instance of: scholarly article
title: Asymptotics of graded codimension of upper triangular matrices
zbMATH Open document ID: 1432.16036
author: Plamen Koshlukov
author: Felipe Yukihide Yasumura
published in: Israel Journal of Mathematics
publication date: 2018-04-06T00:00:00Z
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 6856686
zbMATH Keywords: upper triangular matrices
zbMATH Keywords: graded PI-algebras
zbMATH Keywords: codimension
MaRDI profile type: Publication
full work available at URL: s11856-017-1623-7
OpenAlex ID: W2768375590
cites work: Multialternating graded polynomials and growth of polynomial identities.
cites work: ZP-CODIMENSIONS OF ZP-IDENTITIES OF GRASSMANN ALGEBRA
cites work: Involution codimensions of Grassmann algebra
cites work: Graded polynomial identities of matrices
cites work: Group-graded algebras with polynomial identity
cites work: Properties of hook Schur functions with applications to P. I. algebras
cites work: Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
cites work: Algebraic combinatorics related to the free Lie algebra
cites work: Gradings on the algebra of upper triangular matrices and their graded identities.
cites work: Q4700803
cites work: Gradings on simple Lie algebras
cites work: Finite-dimensional non-associative algebras and codimension growth
cites work: Q5714236
cites work: Lie, Jordan and proper codimensions of associative algebras.
cites work: Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing?
cites work: Amitsur's conjecture for associative algebras with a generalized Hopf action.
cites work: Amitsur’s conjecture for polynomial 𝐻-identities of 𝐻-module Lie algebras
cites work: Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)
cites work: GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD
cites work: Growth of polynilpotent varieties of Lie algebras and rapidly growing entire functions
cites work: Existence of identities in \(A \otimes B\)
cites work: Group gradings on upper triangular matrices.
DOI: 10.1007/S11856-017-1623-7
description: scientific article; zbMATH DE number 6856686