In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the $k$-th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables.
In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the $k$-th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables.
@article{ARM_2006_42_5_a9,
author = {Franek, Peter},
title = {Generalized {Verma} module homomorphisms in singular character},
journal = {Archivum mathematicum},
pages = {229--240},
year = {2006},
volume = {42},
number = {5},
mrnumber = {2322409},
zbl = {1164.22310},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2006_42_5_a9/}
}
TY - JOUR
AU - Franek, Peter
TI - Generalized Verma module homomorphisms in singular character
JO - Archivum mathematicum
PY - 2006
SP - 229
EP - 240
VL - 42
IS - 5
UR - http://geodesic.mathdoc.fr/item/ARM_2006_42_5_a9/
LA - en
ID - ARM_2006_42_5_a9
ER -
%0 Journal Article
%A Franek, Peter
%T Generalized Verma module homomorphisms in singular character
%J Archivum mathematicum
%D 2006
%P 229-240
%V 42
%N 5
%U http://geodesic.mathdoc.fr/item/ARM_2006_42_5_a9/
%G en
%F ARM_2006_42_5_a9
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