The affine Yokonuma-Hecke algebra and the pro-$p$-Iwahori-Hecke algebra
Maria Chlouveraki, Vincent S\'echerre
TL;DR
This paper demonstrates that the affine Yokonuma-Hecke algebra is a special case of the pro-$p$-Iwahori-Hecke algebra, establishing a connection between these algebraic structures.
Contribution
It shows that the affine Yokonuma-Hecke algebra can be realized as a particular instance of the pro-$p$-Iwahori-Hecke algebra, linking two important algebraic frameworks.
Findings
Affine Yokonuma-Hecke algebra is a special case of pro-$p$-Iwahori-Hecke algebra
Establishes a structural connection between the two algebras
Provides a new perspective for studying these algebraic objects
Abstract
We prove that the affine Yokonuma-Hecke algebra defined by Chlouveraki and Poulain d'Andecy is a particular case of the pro--Iwahori-Hecke algebra defined by Vign\'eras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Geometric and Algebraic Topology