Commutation Relations for Arbitrary Quantum Minors

Commutation relations among quantum minors in Oq(Mn(k))

In this paper we compute explicit formulas for the commutation relations between any two quantum minors in the quantum matrix bialgebraOq (Mn(k)). The product of any two minors is expressed as linear combination of products of minors strictly less in certain orderings.  2004 Elsevier Inc. All rights reserved.

COMMUTATION RELATIONS AMONG GENERIC QUANTUM MINORS IN Oq(Mn(k))

COMMUTATION RELATIONS AMONG QUANTUM MINORS IN Oq(Mn(k))

COMMUTATION RELATIONS AMONG QUANTUM MINORS IN Oq(Mn(k))

Observables of Angular Momentum as Observables on the Fedosov Quantized Sphere

In this paper we construct quantummechanical observables of a single free particle that lives on the surface of the two-sphere S by implementing the Fedosov ∗-formalism. The Fedosov ∗ is a generalization of the Moyal star product on an arbitrary symplectic manifold. After their construction we show that they obey the standard angular momentum commutation relations in ordinary nonrelativistic qu...