Heisenberg Parabolic Subgroups of Exceptional Noncompact $G_{2(2)}$ and Invariant Differential Operators

Autor: Dobrev, V. K.
Rok vydání: 2021
Předmět:
Zdroj: Symmetry 2022, 14, (4) 660
Druh dokumentu: Working Paper
DOI: 10.3390/sym14040660
Popis: In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra $G_{2(2)}$. We use both the minimal and the maximal Heisenberg parabolic subalgebras. We give the main multiplets of indecomposable elementary representations. This includes the explicit parametrization of the invariant differential operators between the ERs. These are new results applicable in all cases when one would like to use $G_{2(2)}$ invariant differential operators.
Comment: 19 pages, 4 postscript figures, Contribution to special issue of Symmetry "Manifest and Hidden Symmetries in Field and String Theories", V2: changes to conform with version accepted to the journal
Databáze: arXiv
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