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

6533b826fe1ef96bd1284502

RESEARCH PRODUCT

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

subject

Polynomial Hilbert series and Hilbert polynomial Mathematics::Commutative Algebra General Mathematics Graded ring Triangular matrix Basis (universal algebra)Graded Lie algebra Filtered algebra Algebra symbols.namesake Differential graded algebra symbols Mathematics

description

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

year	journal	country	edition	language
2003-10-01	International Journal of Algebra and Computation

https://doi.org/10.1142/s0218196703001602

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