Claude Eicher

activity

20182025

collaborators

3 papers

math.RT2025

On a Gelfand-Tsetlin representation of $sl_{3}$ in the space of sections of a local system with two monodromy parameters

Claude Eicher

We construct a Gelfand-Tsetlin representation of $sl_{3}$ in the space of sections of a local system. The local system lives on an open part of the flag variety given by t…

math.AG2020

Twisted $D$ -module extensions of local systems on a certain subvariety isomorphic to $G_{m}^{2}$ of the affine flag variety of $SL_{2}$

Claude Eicher

We introduce a family of rank-one local systems in the category of twisted $D$ -modules on a certain subvariety isomorphic to $G_{m}^{2}$ of the affine fla…

math.AG2018

Projective lines in the affine flag manifold with given tangent root vector

Claude Eicher

We first describe the tangent space to the affine flag manifold associated to a simple algebraic group over $C$ at the distinguished point starting from standard definitio…

On a Gelfand-Tsetlin representation of sl3​ in the space of sections of a local system with two monodromy parameters

Twisted D-module extensions of local systems on a certain subvariety isomorphic to Gm​2 of the affine flag variety of SL2​

Projective lines in the affine flag manifold with given tangent root vector

On a Gelfand-Tsetlin representation of $sl_{3}$ in the space of sections of a local system with two monodromy parameters

Twisted $D$ -module extensions of local systems on a certain subvariety isomorphic to $G_{m}^{2}$ of the affine flag variety of $SL_{2}$