Construction of BGG sequences for AHS structures
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 31-52
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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.
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.
Classification :
17B10, 22E46, 43A85, 53A55, 53C30
Keywords: Hermitian symmetric spaces; standard operators; BGG sequence; Hasse diagram; weight graph
Keywords: Hermitian symmetric spaces; standard operators; BGG sequence; Hasse diagram; weight graph
@article{CMUC_2001_42_1_a2,
author = {Krump, Luk\'a\v{s}},
title = {Construction of {BGG} sequences for {AHS} structures},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {31--52},
year = {2001},
volume = {42},
number = {1},
mrnumber = {1825371},
zbl = {1054.53071},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2001_42_1_a2/}
}
Krump, Lukáš. Construction of BGG sequences for AHS structures. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 31-52. http://geodesic.mathdoc.fr/item/CMUC_2001_42_1_a2/