Crystallizing patterns of BGG sequences

Somberg, Petr

Displaying similar documents to “Crystallizing patterns of BGG sequences”

Construction of BGG sequences for AHS structures

Lukáš Krump (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.

BGG diagrams for contact graded odd dimensional orthogonal geometries

Svatopluk Krýsl (2004)

Acta Universitatis Carolinae. Mathematica et Physica

Similarity:

Generalized Verma module homomorphisms in singular character

Peter Franek (2006)

Archivum Mathematicum

Similarity:

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.