Hasse diagrams for parabolic geometries

Krump, Lukáš; Souček, Vladimír

  • Proceedings of the 22nd Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [133]-141

Abstract

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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.

How to cite

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Krump, Lukáš, and Souček, Vladimír. "Hasse diagrams for parabolic geometries." Proceedings of the 22nd Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2003. [133]-141. <http://eudml.org/doc/221518>.

@inProceedings{Krump2003,
abstract = {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.},
author = {Krump, Lukáš, Souček, Vladimír},
booktitle = {Proceedings of the 22nd Winter School "Geometry and Physics"},
keywords = {Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {[133]-141},
publisher = {Circolo Matematico di Palermo},
title = {Hasse diagrams for parabolic geometries},
url = {http://eudml.org/doc/221518},
year = {2003},
}

TY - CLSWK
AU - Krump, Lukáš
AU - Souček, Vladimír
TI - Hasse diagrams for parabolic geometries
T2 - Proceedings of the 22nd Winter School "Geometry and Physics"
PY - 2003
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [133]
EP - 141
AB - 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.
KW - Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221518
ER -

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