On extensions of hook Weyl modules

Abstract

We determine the integral extension groups $Ex{t}^1(\Delta (h),\Delta (h(k)))$ and $Ex{t}^k(\Delta (h),\Delta (h(k)))$, where $\Delta (h),\Delta (h(k))$ are the Weyl modules of the general linear group $G{L}_n$ corresponding to the hook partitions $h=(a,1^b)$, $h(k)=(a+k,1^{b-k})$.

The paper has been updated with the reviewer's suggestions and comments. In particular the Remark after Theorem 4.1 has been corrected. To appear in Journal of Pure and Applied Algebra

Cited by in corpus (3)

• On homomorphisms involving a hook Weyl module
• A periodicity theorem for extensions of Weyl modules
• Integral $Ex{t}^2$ between hook Weyl modules