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Article

Title: Hasse diagrams for parabolic geometries (English)
Author: Krump, Lukáš
Author: Souček, Vladimír
Language: English
Journal: Proceedings of the 22nd Winter School "Geometry and Physics"
Volume:
Issue: 2002
Year:
Pages: [133]-141
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Category: math
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Summary: The invariant differential operators on a manifold with a given parabolic structure come in two classes, standard and non-standard, and can be further subdivided into regular and singular ones. The standard regular operators come in repeated patterns, the Bernstein-Gelfand-Gelfand sequences, described by Hasse diagrams. In this paper, the authors present an alternative characterization of Hasse diagrams, which is quite efficient in the case of low gradings. Several examples are given. (English)
MSC: 17B67
MSC: 17B70
MSC: 53C10
MSC: 53C15
idZBL: Zbl 1047.53014
idMR: MR1982440
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Date available: 2009-07-13T21:49:18Z
Last updated: 2012-09-18
Stable URL: http://hdl.handle.net/10338.dmlcz/701712
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