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

Autor:	Matassa, Marco
Rok vydání:	2018
Předmět:	Mathematics - Quantum Algebra Mathematics - K-Theory and Homology
Zdroj:	Lett Math Phys (2019)
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-019-01168-w
Popis:	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 Kr\"ahmer, is a spectral triple. Comment: v2: General rewriting due to mix of conventions, main results unchanged
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.06456 Zobrazit plný text záznamu View this record from Arxiv