The planar rook algebra and Pascal's triangle.

DOI10.4171/LEM/55-1-3zbMath1209.20004arXiv0806.3960OpenAlexW2024563098MaRDI QIDQ2272251

Kathryn Herbig, Thomas Halverson, Daniel E. Flath

Publication date: 10 August 2009

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3960

zbMATH Keywords

finite-dimensional algebrasirreducible representationsirreducible modulescharacter tablesbinomial coefficientsvector spacesrestrictionsdiagram algebrasBratelli diagramstensor product representationsdirect sum decompositionsplanar rook algebras

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Representations of orders, lattices, algebras over commutative rings (16G30) Ordinary representations and characters (20C15) Semigroup rings, multiplicative semigroups of rings (20M25)

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