GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD

DOI10.1142/S0218196703001602zbMath1057.16020OpenAlexW1970048165MaRDI QIDQ4464962

Plamen Koshlukov, Angela Valenti

Publication date: 27 May 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196703001602

zbMATH Keywords

graded algebrasbases of identitiesupper triangular matricesgraded codimensionsgraded polynomial identitiesalgebras with polynomial identity

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (14)

Gradings on the algebra of upper triangular matrices and their graded identities. ⋮ Involutions for upper triangular matrix algebras. ⋮ On ℤ_n-graded identities of block-triangular matrices ⋮ Graded polynomial identities for the upper triangular matrix algebra over a finite field ⋮ 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 ⋮ A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property ⋮ \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮ Asymptotics of graded codimension of upper triangular matrices ⋮ Superinvolutions on upper-triangular matrix algebras ⋮ Elementary gradings on the Lie algebra \(UT_n^{(-)}\) ⋮ \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\). ⋮ A NOTE ON GRADED GELFAND–KIRILLOV DIMENSION OF GRADED ALGEBRAS

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