Construction of BGG sequences for AHS structures

Lukáš Krump

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 1, page 31-52
  • ISSN: 0010-2628

Abstract

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This paper gives a description of a method of direct construction of the BGG sequences of invariant operators on manifolds with AHS structures on the base of representation theoretical data of the Lie algebra defining the AHS structure. Several examples of the method are shown.

How to cite

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Krump, Lukáš. "Construction of BGG sequences for AHS structures." Commentationes Mathematicae Universitatis Carolinae 42.1 (2001): 31-52. <http://eudml.org/doc/248798>.

@article{Krump2001,
abstract = {This paper gives a description of a method of direct construction of the BGG sequences of invariant operators on manifolds with AHS structures on the base of representation theoretical data of the Lie algebra defining the AHS structure. Several examples of the method are shown.},
author = {Krump, Lukáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Hermitian symmetric spaces; standard operators; BGG sequence; Hasse diagram; weight graph; almost Hermitian structure; Hermitian symmetric space; BGG sequence; Hasse diagram; weight graph},
language = {eng},
number = {1},
pages = {31-52},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Construction of BGG sequences for AHS structures},
url = {http://eudml.org/doc/248798},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Krump, Lukáš
TI - Construction of BGG sequences for AHS structures
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 1
SP - 31
EP - 52
AB - This paper gives a description of a method of direct construction of the BGG sequences of invariant operators on manifolds with AHS structures on the base of representation theoretical data of the Lie algebra defining the AHS structure. Several examples of the method are shown.
LA - eng
KW - Hermitian symmetric spaces; standard operators; BGG sequence; Hasse diagram; weight graph; almost Hermitian structure; Hermitian symmetric space; BGG sequence; Hasse diagram; weight graph
UR - http://eudml.org/doc/248798
ER -

References

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