The Parthasarathy formula and a spectral triple for the quantum Lagrangian Grassmannian of rank two

被引：3
|
作者：
Matassa, Marco [1 ]
机构：
[1] OsloMet Storbyuniv, Oslo, Norway
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2019年 / 109卷 / 08期
关键词：
Quantum groups; Dirac operators; Generalized flag manifolds; DOLBEAULT-DIRAC OPERATORS; ALGEBRAS;
D O I：
10.1007/s11005-019-01168-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that the Dolbeault-Dirac operator on the quantum Lagrangian Grassmannian of rank two, an example of a quantum irreducible flag manifold, satisfies an appropriate version of the Parthasarathy formula. We use this result to complete the proof that the candidate spectral triple for this space, as defined by Krahmer, is a spectral triple.
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页码：1703 / 1734
页数：32
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