Computations of sheaves associated to the representation theory of sl_2
| Autor: | Jim Stark |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Direct image with compact support
Discrete mathematics Projectivization Pure mathematics Algebra and Number Theory Weyl module 17B50 17B56 (Primary) Cohomology Base change Representation theory of SL2 Restricted Lie algebra Mathematics::Algebraic Geometry FOS: Mathematics Representation Theory (math.RT) Indecomposable module Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
| Popis: | We explicitly compute examples of sheaves over the projectivization of the spectrum of the cohomology of sl_2. In particular, we compute \ker\Theta_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. Comment: 38 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 |
| Databáze: | OpenAIRE |
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