The algebra of 2 × 2 upper triangular matrices as a commutative algebra: Gradings, graded polynomial identities and Specht property

Pedro Morais; Manuela da Silva Souza

doi:10.1016/j.jalgebra.2021.11.011

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The algebra of 2 × 2 upper triangular matrices as a commutative algebra: Gradings, graded polynomial identities and Specht property

Pedro Morais Manuela da Silva Souza

Year: 2021 Journal: Journal of Algebra Vol: 593 Pages: 217-234 Publisher: Elsevier BV

DOI: 10.1016/j.jalgebra.2021.11.011

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Keywords:

Mathematics Triangular matrix Commutative property Pure mathematics Associative algebra Associative property Commutative algebra Polynomial Field (mathematics) Division algebra Symmetric algebra Polynomial ring Subalgebra Algebra over a field Cellular algebra Algebra representation Mathematical analysis

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Advanced Topics in Algebra

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The algebra of 2 × 2 upper triangular matrices as a commutative algebra: Gradings, graded polynomial identities and Specht property

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