| dc.contributor.author | Calvert, Kieran | |
| dc.contributor.author | de Martino, Marcelo | |
| dc.contributor.author | Oste, Roy | |
| dc.date.accessioned | 2025-09-02T08:43:26Z | |
| dc.date.available | 2025-09-02T08:43:26Z | |
| dc.date.issued | 2025-08 | |
| dc.identifier.uri | http://publications.mfo.de/handle/mfo/4312 | |
| dc.description | Acknowledgments. We gratefully acknowledge the hospitality and excellent working conditions provided by the Mathematisches Forschungsinstitut Oberwolfach, where KC and MDM were Oberwolfach Research Fellows during the Spring of 2024. MDM thanks the Mathematics Department at Lancaster University for hospitality during a visit and collaboration with KC. MDM acknowledges support from the special research fund (BOF) of Ghent University [BOF20/PDO/058]. | en_US |
| dc.description.abstract | In this paper, we study the centraliser of $\mathfrak{osp}(1|2)$, denoted the total angular momentum algebra (TAMA), in the Weyl Clifford algebra. The TAMA extends the angular momentum algebra (AMA), which arises as the centraliser of \(\mathfrak{sl}(2)\) and admits a diagrammatic presentation via the crossing relation described by Feigin and Hakobyan. Using Young symmetrisers we construct an analogue relation for the even subalgebra of the TAMA. We prove that for rank $4$ and $5$ these relations generate a presentation for the even subalgebra of the TAMA. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Mathematisches Forschungsinstitut Oberwolfach | en_US |
| dc.relation.ispartofseries | Oberwolfach Preprints;2025-08 | |
| dc.title | On Angular Momentum Algebras and their Relations | en_US |
| dc.type | Preprint | en_US |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | en |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | de |
| dc.identifier.doi | 10.14760/OWP-2025-08 | |
| local.scientificprogram | OWRF 2024 | |
| local.series.id | OWP-2025-08 | en_US |
| dc.identifier.ppn | 1936358689 | |
