Coassociative grammar, periodic orbits, and quantum random walk over .
Cocycle condition for multi-pullbacks of algebras
Take finitely many topological spaces and for each pair of these spaces choose a pair of corresponding closed subspaces that are identified by a homeomorphism. We note that this gluing procedure does not guarantee that the building pieces, or the gluings of some pieces, are embedded in the space obtained by putting together all given ingredients. Dually, we show that a certain sufficient condition, called the cocycle condition, is also necessary to guarantee sheaf-like properties of surjective multi-pullbacks...
Coherent states and geometry.
Coherent states of the 1+1 dimensional Poincaré group : square integrability and a relativistic Weyl transform
Combined analysis of two- and three-particle correlations in -Bose gas model.
Commutator representations of covariant differential calculi
Completely integrable systems associated with classical root systems.
Comtrans algebras and their physical applications
Constant solutions of Yang-Baxter equation for sl(2) and sl(3).
Construction of the Bethe state for the elliptic quantum group.
Contractions of Lie algebras and algebraic groups
Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them. Here we focus on contractions of Lie algebras and algebraic groups.
Contractions of Poisson-Lie groups, Lie bialgebras and quantum deformations
Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an application, contractions of SL(2,R) Poisson-Lie groups leading to (1+1) Poincaré and Heisenberg structures are analysed. It is shown how the method here introduced allows a systematic construction of the Poisson structures associated to non-coboundary Lie bialgebras. Finally, it is sketched how contractions are also implemented after quantization by using the Lie bialgebra approach.
Contractions of to the Heisenberg group and Berezin calculus. (Contraction de vers le groupe de Heisenberg et calcul de Berezin.)
Coordinate Bethe ansatz for spin XXX model.
Cosmological symmetry breaking and generation of electromagnetic field.
Covariant approach of the dynamics of particles in external gauge fields, Killing tensors and quantum gravitational anomalies.
Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables.
Crystal bases for the quantum queer superalgebra
In this paper, we develop the crystal basis theory for the quantum queer superalgebra . We define the notion of crystal bases and prove the tensor product rule for -modules in the category . Our main theorem shows that every -module in the category has a unique crystal basis.
Darboux transformation for the nonstationary Schrödinger equation.
De Sitter to Poincaré contraction and relativistic coherent states