A cellular algebra with specific decomposition of the unity

DOI10.1080/00927872.2020.1753059zbMath1460.16006arXiv1701.08411OpenAlexW3022152292MaRDI QIDQ5131765

Mufida M. Hmaida

Publication date: 9 November 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08411

zbMATH Keywords

cellular algebraLevi-type sub-algebramulti-color partition algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99) Jacobson radical, quasimultiplication (16N20)

Cites Work

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• On an algebraic approach to higher dimensional statistical mechanics
• Cellular algebras
• The structure of the partition algebras
• The bubble algebra: structure of a two-colour Temperley–Lieb Algebra
• On the number of cells of a cellular algebra

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