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

Plamen Koshlukov; A. Valenti

doi:10.1142/s0218196703001602

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

Plamen Koshlukov A. Valenti

Year: 2003 Journal: International Journal of Algebra and Computation Vol: 13 (05)Pages: 517-526 Publisher: World Scientific

DOI: 10.1142/s0218196703001602

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Abstract

We consider the algebra U n (K) of n×n upper triangular matrices over an infinite field K equipped with its usual ℤ n -grading. We describe a basis of the ideal of the graded polynomial identities for this algebra.

Keywords:

Mathematics Triangular matrix Field (mathematics) Algebra over a field Filtered algebra Graded ring Ideal (ethics) Differential graded algebra Basis (linear algebra) Symmetric algebra Division algebra Quaternion algebra Combinatorics Pure mathematics Cellular algebra Algebra representation Discrete mathematics Geometry

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

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

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