L. T. Jensen

activity

20152022

most citedThe 2-braid group and Garside normal form

4 citations · 9 across the 7 of their papers we have counts for

collaborators

8 papers

math.RT2022

Calculating the $p$ -canonical basis of Hecke algebras

Joel Gibson, Lars Thorge Jensen, Geordie Williamson

We describe an algorithm for computing the $p$ -canonical basis of the Hecke algebra, or one of its antispherical modules. The algorithm does not operate in the Hecke category direc…

math.RT2021

Categorical diagonalization and $p$ -cells

Ben Elias, Lars Thorge Jensen, Joel Gibson

In the Iwahori-Hecke algebra, the full twist acts on cell modules by a scalar, and the half twist acts by a scalar and an involution. A categorification of this statement, describi…

math.RT2021★ 1 cited

Correction of the Lusztig-Williamson Billiards Conjecture

Lars Thorge Jensen

A new algorithm allows us to calculate many new tilting characters for $S L_{3}$ , $S P_{4}$ , $G_{2}$ , $S L_{4}$ and potentially many other groups. These calculations show that the Lusztig-Wil…

math.RT2020★ 3 cited

Cellularity of the p-Canonical Basis for Symmetric Groups

Lars Thorge Jensen

For symmetric groups we show that the p-canonical basis can be extended to a cell datum for the Iwahori-Hecke algebra H and that the two-sided p-cell preorder coincides with the Ka…

math.RT2019

On the Induction of p-Cells

Lars Thorge Jensen, Leonardo Patimo

We study cells with respect to the $p$ -canonical basis of the Hecke algebra of a crystallographic Coxeter system (see arXiv:1510.01556, arXiv:1901.02323) and their compatibility wi…

math.RT2019

The ABC of p-Cells

Lars Thorge Jensen

Parallel to the very rich theory of Kazhdan-Lusztig cells in characteristic $0$ , we try to build a similar theory in positive characteristic. We study cells with respect to the $p$ …

math.RT2015★ 1 cited

The $p$ -Canonical Basis for Hecke Algebras

Lars Thorge Jensen, Geordie Williamson

We describe a positive characteristic analogue of the Kazhdan-Lusztig basis of the Hecke algebra of a crystallographic Coxeter system and investigate some of its properties. Using…

math.RT2015★ 4 cited

The 2-braid group and Garside normal form

Lars Thorge Jensen

We investigate the relation between the Garside normal form for positive braids and the $2$ -braid group defined by Rouquier. Inspired by work of Brav and Thomas we show that the Ga…

Calculating the p-canonical basis of Hecke algebras

Categorical diagonalization and p-cells

Correction of the Lusztig-Williamson Billiards Conjecture

Cellularity of the p-Canonical Basis for Symmetric Groups

On the Induction of p-Cells

The ABC of p-Cells

The p-Canonical Basis for Hecke Algebras

The 2-braid group and Garside normal form

Calculating the $p$ -canonical basis of Hecke algebras

Categorical diagonalization and $p$ -cells

The $p$ -Canonical Basis for Hecke Algebras