F. Digne

activity

20002022

most citedParabolic Deligne-Lusztig varieties

36 citations · 71 across the 11 of their papers we have counts for

collaborators

14 papers

math.GR2022

Braid groups and symplectic Steinberg groups

François Digne, Christian Kassel

We construct a homomorphism $f$ from the braid group $B_{2 n + 2}$ on $2 n + 2$ strands to the Steinberg group associated with the Lie type $C_{n}$ and with integer coefficients. This homo…

math.GR2020

Commutation of Shintani descent and Jordan decomposition

François Digne, Jean Michel

Let $G^{F}$ be a finite group of Lie type, where $G$ is a reductive group defined over $F_{q}$ and $F$ is a Frobenius root. Lusztig's Jordan de…

math.GR2017★ 9 cited

Quasi-semisimple elements

François Digne, Jean Michel

We study quasi-semisimple elements of disconnected reductive algebraic groups over an algebraically closed field. We describe their centralizers, define isolated and quasi-isolated…

math.GR2015

Dual braid monoids, Mikado braids and positivity in Hecke algebras

François Digne, Thomas Gobet

We study the rational permutation braids, that is the elements of an Artin-Tits group of spherical type which can be written $x^{- 1} y$ where $x$ and $y$ are prefixes of the Garsid…

math.RT2015

Complements on disconnected reductive groups

F. Digne, J. Michel

We present various results on disconnected reductive groups, in particular about the characteristic 0 representation theory of such groups over finite fields.

math.GR2014★ 1 cited

Addenda to "Foundations of Garside Theory"

Patrick Dehornoy, Francois Digne, Eddy Godelle +2

This text consists of additions to the book "Foundations of Garside Theory", EMS Tracts in Mathematics, vol. 22 (2015) -- see introduction and table of contents in arXiv:1309.0796…