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20082026
most citedStandard objects in 2-braid groups

20 citations · 39 across the 17 of their papers we have counts for

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math.RT2024

The atomic Leibniz rule

Ben Elias, Hankyung Ko, Nicolas Libedinsky +1

The Demazure operator associated to a simple reflection satisfies the twisted Leibniz rule. In this paper we introduce a generalization of the twisted Leibniz rule for the Demazure…

math.RT2024

Singular Light Leaves

Ben Elias, Hankyung Ko, Nicolas Libedinsky +1

For any Coxeter system we introduce the concept of singular light leaves, answering a question of Williamson raised in 2008. They provide a combinatorial basis for Hom spaces betwe…

math.RT2023

Demazure operators for double cosets

Ben Elias, Hankyung Ko, Nicolas Libedinsky +1

For any Coxeter system, and any double coset for two standard parabolic subgroups, we introduce a Demazure operator. These operators form a basis for morphism spaces in a category…

math.RT2022

IntroSurvey of representation theory

Nicolas Libedinsky

There could be thousands of Introductions/Surveys of representation theory, given that it is an enormous field. This is just one of them, quite personal and informal. It has an inc…

math.RT2021★ 7 cited

Combinatorial invariance conjecture for

Gaston Burrull, Nicolas Libedinsky, David Plaza

The combinatorial invariance conjecture (due independently to G. Lusztig and M. Dyer) predicts that if and are isomorphic Bruhat posets (of possibly different Cox…

math.RT2021

Pre-canonical bases on affine Hecke algebras

Nicolas Libedinsky, Leonardo Patimo, David Plaza

For any affine Weyl group, we introduce the pre-canonical bases. They are a set of bases (where is the height of the highest root) of the…