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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Published in | Journal of physics. Conference series Vol. 2667; no. 1; pp. 12005 - 12014 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
01.12.2023
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1742-6588 1742-6596 |
DOI: | 10.1088/1742-6596/2667/1/012005 |