The Grothendieck group of a tower of the Temperley–Lieb algebras

DOI10.1142/S0219498819501366zbMath1453.16009WikidataQ129534133 ScholiaQ129534133MaRDI QIDQ5230102

Pei Wang

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Grothendieck grouptensor productTemperley-Lieb algebracellular algebracell module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Grothendieck groups, (K)-theory, etc. (16E20) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items (1)

Semi-simplicity of Temperley-Lieb algebras of type D

Cites Work

• Unnamed Item
• Algebraic structures on Grothendieck groups of a tower of algebras.
• State models and the Jones polynomial
• Index for subfactors
• The representation theory of the Temperley-Lieb algebras
• Cellular algebras
• Standard modules, induction and the structure of the Temperley-Lieb algebra
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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