Asymptotics of graded codimension of upper triangular matrices

DOI10.1007/s11856-017-1623-7zbMath1432.16036OpenAlexW2768375590MaRDI QIDQ1709742

Plamen Koshlukov, Felipe Yukihide Yasumura

Publication date: 6 April 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-017-1623-7

zbMATH Keywords

codimensionupper triangular matricesgraded PI-algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded Lie (super)algebras (17B70)

Related Items (7)

Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ Graded identities with involution for the algebra of upper triangular matrices ⋮ \(\mathbb{Z}\)-graded identities of the Virasoro algebra ⋮ \(\mathbb{Z}\)-graded identities of the Lie algebras \(U_1\) ⋮ Identities for the special linear Lie algebra with the Pauli and Cartan gradings ⋮ Graded identities for Kac-Moody and Heisenberg algebras with the Cartan grading

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