Party-Hecke algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912976003399680 |
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| author | Arcis, Diego Juyumaya, Jesús |
| author_facet | Arcis, Diego Juyumaya, Jesús |
| contents | Party-Hecke algebras are introduced as a two-parameter deformation of party algebras, where one parameter deforms the party generators and the other deforms the elementary transpositions. We construct a basis for this algebra and show that it can be realized as a quotient of the algebra of braids and ties. Furthermore, we study the party monoid and its relationship with the tied symmetric monoid and their associated algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19917 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Party-Hecke algebras Arcis, Diego Juyumaya, Jesús Representation Theory Quantum Algebra 15A72, 20C08, 20M05, 20M20, 47A67 Party-Hecke algebras are introduced as a two-parameter deformation of party algebras, where one parameter deforms the party generators and the other deforms the elementary transpositions. We construct a basis for this algebra and show that it can be realized as a quotient of the algebra of braids and ties. Furthermore, we study the party monoid and its relationship with the tied symmetric monoid and their associated algebras. |
| title | Party-Hecke algebras |
| topic | Representation Theory Quantum Algebra 15A72, 20C08, 20M05, 20M20, 47A67 |
| url | https://arxiv.org/abs/2603.19917 |