Computations of sheaves associated to the representation theory of sl_2

Abstract

We explicitly compute examples of sheaves over the projectivization of the spectrum of the cohomology of sl_2. In particular, we compute \kerΘ_M for every indecomposable M and we compute F_i(M) when M is an indecomposable Weyl module and i \neq p. We also give a brief review of the classification of sl_2-modules and of the general theory of such sheaves in the case of a restricted Lie algebra.

arXiv comment38 pages, grant acknowledgement, journal reference, and DOI added to previous version. The published version of this paper has been significantly shortened compared to the arXiv version

References in corpus (3)

• Modules of constant Jordan type
• A realization theorem for modules of constant Jordan type and vector bundles
• Detecting projectivity in sheaves associated to representations of infinitesimal groups

Cited by in corpus (1)

• Detecting projectivity in sheaves associated to representations of infinitesimal groups