Construction of the Noncommutative Rank I Bergman Domain

DOI10.1007/978-4-431-54270-4_26zbMath1270.81118arXiv1204.2794OpenAlexW2223267682MaRDI QIDQ2840431

Zhituo Wang

Publication date: 18 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2794

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55)

Cites Work

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• The construction of noncommutative manifolds using coherent states
• Noncommutative field theory on rank one symmetric spaces
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• Non-perturbative deformation quantization of Cartan domains
• Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model
• Quantum complex Minkowski space
• Quantum field theory on quantized Bergman domain
• Noncommutative field theory
• Lie groups beyond an introduction
• Quantum field theory on noncommutative spaces

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