Now showing items 1-10 of 177
Cyclic representations of the periodic Temperley-Lieb algebra, complex Virasoro representations and stochastic processes
(Institute of Physics - IOPBristol, 2014-05)
An N (L L/2)-dimensional representation of the periodic Temperley-Lieb algebra TLL(x) is presented. It is also a representation of the cyclic group ZN. We choose x = 1 and define a Hamiltonian as a sum of the generators ...
Finiteness of hermitian levels of some algebras
We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that ...
Stochastic processes with ZN symmetry and complex Virasoro representations: the partition functions
(Institute of Physics - IOPBristol, 2014-11)
In a previous letter (Alcaraz F C et al 2014 J. Phys. A: Math. Theor. 47 212003) we have presented numerical evidence that a Hamiltonian expressed in terms of the generators of the periodic Temperley-Lieb algebra has, in ...
Finite-dimensional representations of hyper loop algebras
(Pacific Journal MathematicsBerkeleyEUA, 2007)
Discretizing the deformation parameter in the su(q)(2) quantum algebra
(Sociedad Mexicana de Fisica, 1998-02-01)
Inspired in recent works of Biedenham [1, 2] on the realization of the q-algebra su(q)(2), We show in this note that the condition [2j + 1](q) = N-q(j) = integer, implies the discretization of the deformation parameter ...
On Cubic Étale Algebras
On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
Control systems involving shared communications networks are becoming ubiquitous. The inclusion of a communications network within a feedback loop imposes new control challenges. We consider a setting where a centralized ...