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arXiv · 2603.19917

Party-Hecke algebras

Diego Arcis·Jesús Juyumaya
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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.

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Diego Arcis, Jesús Juyumaya. 2026-03-20. Party-Hecke algebras. https://arxiv.org/abs/2603.19917

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