Group gradings on upper triangular matrices.

DOI10.1007/s00013-007-2154-yzbMath1151.16042OpenAlexW2014882767MaRDI QIDQ2642252

Angela Valenti, Mikhail V. Zaicev

Publication date: 20 August 2007

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-007-2154-y

zbMATH Keywords

graded algebrasupper triangular matriceselementary gradingsgroup gradings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (34)

Graded identities of \(M_n(E)\) and their generalizations over infinite fields ⋮ Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ Homogeneous involutions on upper triangular matrices ⋮ Graded polynomial identities as identities of universal algebras ⋮ Identities with involution for \(2\times 2\) upper triangular matrices algebra over a finite field ⋮ Automorphisms and superalgebra structures on the Grassmann algebra ⋮ Degree-inverting involution on full square and triangular matrices ⋮ Group gradings on the Jordan algebra of upper triangular matrices ⋮ Gradings on the algebra of upper triangular matrices of size three. ⋮ Graded polynomial identities for the upper triangular matrix algebra over a finite field ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ Gradings on block-triangular matrix algebras ⋮ Group gradings on the Lie and Jordan algebras of upper triangular matrices ⋮ \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ Actions of Taft's algebras on finite dimensional algebras ⋮ Graded identities with involution for the algebra of upper triangular matrices ⋮ \(\mathbb{Z}\)-graded identities of the Virasoro algebra ⋮ Asymptotics of graded codimension of upper triangular matrices ⋮ Upper triangular matrices of graded division algebras and their identities ⋮ Graded identities and isomorphisms on algebras of upper block-triangular matrices ⋮ On the combinatorics of commutators of Lie algebras ⋮ Group gradings on upper block triangular matrices ⋮ Superinvolutions on upper-triangular matrix algebras ⋮ Elementary gradings on the Lie algebra \(UT_n^{(-)}\) ⋮ Degree-inverting involutions on matrix algebras ⋮ Group gradings on the Lie algebra of upper triangular matrices ⋮ Distinguishing simple algebras by means of polynomial identities ⋮ On group gradings on PI-algebras. ⋮ On the number of gradings on matrix algebras ⋮ Graded identities of block-triangular matrices ⋮ Group gradings on the Lie and Jordan algebras of block-triangular matrices ⋮ Graded involutions on block-triangular matrix algebras ⋮ Group gradings on finite dimensional incidence algebras ⋮ Good Gradings on Upper Block Triangular Matrix Algebras

This page was built for publication: Group gradings on upper triangular matrices.