988 research outputs found
Deformation of orthosymplectic Lie superalgebra osp(1|2)
Triangular deformation of the orthosymplectic Lie superalgebra osp(1|4) is
defined by chains of twists. Corresponding classical r-matrix is obtained by a
contraction procedure from the trigonometric r-matrix. The carrier space of the
constant r-matrix is the Borel subalgebra.Comment: LaTeX, 8 page
Reflection equations and q-Minkowski space algebras
We express the defining relations of the -deformed Minkowski space algebra
as well as that of the corresponding derivatives and differentials in the form
of reflection equations. This formulation encompasses the covariance properties
with respect the quantum Lorentz group action in a straightforward way.Comment: 10 page
Tetrahedron Reflection Equation
Reflection equation for the scattering of lines moving in half-plane is
obtained. The corresponding geometric picture is related with configurations of
half-planes touching the boundary plane in 2+1 dimensions. This equation can be
obtained as an additional to the tetrahedron equation consistency condition for
a modified Zamolodchikov algebra.Comment: 10 pages, LaTe
Quantum group covariant systems
The meaning of quantum group transformation properties is discussed in some
detail by comparing the (co)actions of the quantum group with those of the
corresponding Lie group, both of which have the same algebraic (matrix) form of
the transformation. Various algebras are considered which are covariant with
respect to the quantum (super) groups as well as deformed Minkowski space-time
algebras.Comment: 12 pages, Late
- …