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4 papers
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…
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…
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…
Non-Commutative Corepresentations of Quantum Groups
H. Montani, R. Trinchero
We consider a twisted version of quantum groups corepresentations. This generalization amounts to include in the theory the case where quantum space coordinates and its endomorphis…