Dirac operator in contact symplectic parabolic geometry
Kadlčáková, Lenka
Similarity:
Displaying similar documents to “Classification of -homomorphisms between higher symplectic spinors”
Dirac operator in contact symplectic parabolic geometry
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 -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.
Weyl algebra and a realization of the unitary symmetry
Strasburger, Aleksander
Similarity:
In the paper the origins of the intrinsic unitary symmetry encountered in the study of bosonic systems with finite degrees of freedom and its relations with the Weyl algebra (1979, Jacobson) generated by the quantum canonical commutation relations are presented. An analytical representation of the Weyl algebra formulated in terms of partial differential operators with polynomial coefficients is studied in detail. As a basic example, the symmetry properties of the -dimensional quantum...