Lucas Fresse

activity

20072026

most citedOn the singularity of the irreducible components of a Springer fiber in sl(n)

33 citations · 58 across the 18 of their papers we have counts for

collaborators

24 papers

math.RT2026

Double flag varieties of Levi type with a finite number of orbits

Lucas Fresse, Kyo Nishiyama

We consider a double flag variety of the form $L / Q \times G / P$ where $G$ is a connected reductive group and $L$ is a Levi subgroup of $G$ . The Levi subgroup $L$ acts diagonally on t…

math.AG2024

On isomorphisms of ind-varieties of generalized flags

Lucas Fresse, Ivan Penkov

Ind-varieties of generalized flags have been studied for two decades. However, a precise statement of when two such ind-varieties, one or both being possibly ind-varieties of isotr…

math.RT2023

Overview on the theory of double flag varieties for symmetric pairs

Lucas Fresse, Kyo Nishiyama

Let $G$ be a connected reductive algebraic group and its symmetric subgroup $K$ . The variety $ \dblFV = K/Q \times G/P $ is called a double flag variety, where $Q$ and $P$ …

math.RT2023

Matrix formulas for multiplicities in the spin module

Lucas Fresse, Salah Mehdi

We obtain inductive and enumerative formulas for the multiplicities of the weights of the spin module for the Clifford algebra of a Levi subalgebra in a complex semisimple Lie alge…

math.RT2023

On homogeneous spaces for diagonal ind-groups

Lucas Fresse, Ivan Penkov

We study the homogeneous ind-spaces $GL (s) / P$ where $GL (s)$ is a strict diagonal ind-group defined by a supernatural number $\mathbf{s}…

math.RT2022

Action of Hecke algebra on the double flag variety of type AIII

Lucas Fresse, Kyo Nishiyama

Consider a connected reductive algebraic group $G$ and a symmetric subgroup $K$ . Let $X = K / B_{K} \times G / P$ be a double flag variety of finite type, where $B_{K}$ …