| Title: |
The Temperley–Lieb tower and the Weyl algebra |
| Authors: |
Harper, Matthew; Samuelson, Peter |
| Contributors: |
National Science Foundation |
| Source: |
Journal of the London Mathematical Society ; volume 111, issue 5 ; ISSN 0024-6107 1469-7750 |
| Publisher Information: |
Wiley |
| Publication Year: |
2025 |
| Collection: |
Wiley Online Library (Open Access Articles via Crossref) |
| Description: |
We define a monoidal category and a closely related 2‐category using diagrammatic methods. We show that acts on the category of modules over Temperley–Lieb algebras, with its generating 1‐morphisms acting by induction and restriction. The Grothendieck groups of and a third category we define are closely related to the Weyl algebra. We formulate a sense in which acts asymptotically on . |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1112/jlms.70174 |
| Availability: |
https://doi.org/10.1112/jlms.70174; https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.70174 |
| Rights: |
http://creativecommons.org/licenses/by/4.0/ |
| Accession Number: |
edsbas.AF405DFE |
| Database: |
BASE |