sigma10-058. 414KB Jun 04 2011 12:10:41 AM
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The Darboux dressing matrix obtained depends just on one set of variables because of the so-called spectrality property in- troduced by E.. In the end we mention some
the examples presented here provide an indication that the (strong) Poincar´e duality in non- commutative geometry could be understood as existence of an isomorphism
We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of Monge–Kantorovich transport problem,
In order to construct a pedagogical explanation of the method to the nonspecialist we exemplify the formalism showing that the massive NC U (1) theory is embedded in a gauge
For instance, applying a Berry-phase argument to a Bloch electron in a lattice, the standard semiclassical equations [ 62 ] are modified by new terms [ 22 ], generating purely
In Section 4 we study examples of the deformed Klein–Gordon operators derived in Section 3 using different NC Minkowski spaces, de Sitter universes, a Schwarzschild black hole and
The development of these ideas has followed two complementary ways, namely (i) the dimensional reduction of a higher-dimensional gauge theory over fuzzy internal spaces [ 19 ] and
The exact symmetries associated to the junction representation are then examined, certain obvious and non-trivial representations of quantum algebras are introduced, and turn out