The Einstein condition for quantum irreducible flag manifolds

Fuente: arXiv
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Autor principal: Matassa, Marco
Formato: Preprint
Publicado: 2026
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author Matassa, Marco
author_facet Matassa, Marco
contents We show that any quantum irreducible flag manifold satisfies an analogue of the Einstein condition, expressing proportionality between the Ricci tensor and the metric, at least in a small open interval around the classical value of the quantization parameter. This makes use of various canonical constructions associated to these algebras, such as differential calculi and bimodule connections, which were previously introduced by various authors.
format Preprint
id arxiv_https___arxiv_org_abs_2603_11786
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Einstein condition for quantum irreducible flag manifolds
Matassa, Marco
Quantum Algebra
Mathematical Physics
We show that any quantum irreducible flag manifold satisfies an analogue of the Einstein condition, expressing proportionality between the Ricci tensor and the metric, at least in a small open interval around the classical value of the quantization parameter. This makes use of various canonical constructions associated to these algebras, such as differential calculi and bimodule connections, which were previously introduced by various authors.
title The Einstein condition for quantum irreducible flag manifolds
topic Quantum Algebra
Mathematical Physics
url https://arxiv.org/abs/2603.11786