Dirac operator on the standard Podleś quantum sphere

• Autorzy: Ludwik Dąbrowski , Andrzej Sitarz
• Języki publikacji: EN

Abstrakty

EN

Using principles of quantum symmetries we derive the algebraic part of the real spectral triple data for the standard Podleś quantum sphere: equivariant representation, chiral grading γ, reality structure J and the Dirac operator D, which has bounded commutators with the elements of the algebra and satisfies the first order condition.

Kategorie tematyczne

• 58B34: Noncommutative geometry (\`a la Connes)
• 17B37: Quantum groups (quantized enveloping algebras) and related deformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 61
• Numer: 1
• Strony: 49-58

Daty

wydano

2003

Twórcy

autor

Ludwik Dąbrowski

• Scuola Internazionale Superiore di Studi Avanzati, Via Beirut 2-4, I-34014 Trieste, Italy

autor

Andrzej Sitarz

• Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/bc61-0-4