H. Maakestad

collaborators

3 papers

math.AG2025

A universal characteristic class for vector bundles with a connection

Helge Ãystein Maakestad

In the paper I introduce a new characteristic class $c (E)$ for a finite rank vector bundle $E$ on an affine scheme $S := S p ec (A)$ - the fundamental class of $E$ . The class $c (E)$ is…

math.AG2025

A universal Clebsch-Gordan filtration for $GL_{2, A}$

Helge Ãystein Maakestad

The aim of the paper is to study the group schemes $G := SL_{2, A}, GL_{2, A}$ and universal Clebsch-Gordan filtrations. Here $A$ is a field or any commu…

math.AG2024

A refined Weyl character formula for comodules on $GL_{2, A}$

Helge Ãystein Maakestad

Let $A$ be any commutative unital ring and let $GL_{2, A}$ be the general linear group scheme on $A$ of rank $2$ . We study the representation theory of $\operatorname…

A universal characteristic class for vector bundles with a connection

A universal Clebsch-Gordan filtration for GL2,A​

A refined Weyl character formula for comodules on GL2,A​

A universal Clebsch-Gordan filtration for $GL_{2, A}$

A refined Weyl character formula for comodules on $GL_{2, A}$