Einstein Manifold of SO(p,q) with a New Parabolic Subgroup and Invariant Differential Operators

Abstract In the present paper we continue the project of systematic explicit construction of invariant differential operators. On the example of the non-compact group SO ( p, 9 − p ) (for p = 5 , 6) we give the classification multiplets of indecomposable elementary representations induced from a new...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 2667; no. 1; pp. 12005 - 12014
Main Author Dobrev, V.K.
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.12.2023
Subjects
Classification
Differential equations
Fine structure
Invariants
Manifolds
Operators (mathematics)
Physics
Subgroups
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Summary:Abstract In the present paper we continue the project of systematic explicit construction of invariant differential operators. On the example of the non-compact group SO ( p, 9 − p ) (for p = 5 , 6) we give the classification multiplets of indecomposable elementary representations induced from a new (relative to earlier considerations) choice of parabolic subgroup MAN so that the factor-group G/M is an Einstein manifold. This classification includes the data for the relevant invariant differential operators.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2667/1/012005