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math-ph2008★ 1 cited
Examples of non integer dimensional geometries
R. Trinchero
Two examples of spectral triples with non-integer dimension spectrum are considered. These triples involve commutative C*-algebras. The first example has complex dimension spectrum…
math-ph2000
Integrable models and star structures
Ariel O. Garcia, Roberto C. Trinchero
We consider the representations of Hopf algebras involved in some physical models, namely, factorizable S-matrix models (FSM's), one-dimensional quantum spin chains (QSC's) and sta…
math-ph1998
Geometry of the reduced quantum plane
R. Coquereaux, A. O. Garcia, R. Trinchero
We consider the space M of NxN matrices as a reduced quantum plane and discuss its geometry under the action and coaction of finite dimensional quantum groups (a quotient of U_q(SL…