Geodesic
The homology of a Temperley–Lieb algebra on an odd number of strands
Sroka, Robin J1
1 Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada, Mathematisches Institut, Universität Münster, Münster, Germany
Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3527-3541

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that the homology of any Temperley–Lieb algebra 𝒯ℒn(a) on an odd number of strands vanishes in positive degrees. This improves a result obtained by Boyd and Hepworth. In addition, we present alternative arguments for two vanishing results of Boyd and Hepworth: the stable homology of Temperley–Lieb algebras is trivial, and if the parameter a ∈ R is a unit, then the homology of any Temperley–Lieb algebra is concentrated in degree zero.

DOI : 10.2140/agt.2024.24.3527
Keywords: homology, homological stability, Temperley–Lieb algebra

Sroka, Robin J 1

1 Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada, Mathematisches Institut, Universität Münster, Münster, Germany 
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Sroka, Robin J. The homology of a Temperley–Lieb algebra on an odd number of strands. Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3527-3541. doi: 10.2140/agt.2024.24.3527

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