Year: 2026
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Arcis, Diego, Juyumaya, Jesús
Institutions: University of La Serena, University of Valparaíso
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7140128425
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