19 citations · 42 across the 4 of their papers we have counts for
9 papers
Superextension of Jordanian Deformation for U(osp(1|2))and its Generalizations
A. Borowiec, J. Lukierski, V. N. Tolstoy
We describe Jordanian ``nonstandard'' deformation of U(osp(1|2)) by employing the twist quantization technique. An extension of these results to U(osp(1|4))describing deformed grad…
Bi-element representations of ternary groups
Andrzej Borowiec, Wieslaw A. Dudek, Steven Duplij
General properties of ternary semigroups and groups are considered. The bi-element representation theory in which every representation matrix corresponds to a pair of elements is b…
Basic concepts of ternary Hopf algebras
Andrzej Borowiec, Wieslaw A. Dudek, Steven Duplij
The theory of ternary semigroups, groups and algebras is reformulated in the abstract arrow language. Then using the reversing arrow ansatz we define ternary comultiplication, bial…
Conservation laws for non global Lagrangians
A. Borowiec, M. Ferraris, M. Francaviglia +1
In the Lagrangian framework for symmetries and conservation laws of field theories, we investigate globality properties of conserved currents associated with non-global Lagrangians…
Fourth-Order Ricci Gravity
A. Borowiec, M. Francaviglia, V. I. Smirichinski
The Euler-Lagrange equations of motion for the most general Ricci type gravitational Lagrangians are derived by means of a purely metric formalism.
Hopf modules and their duals
A. Borowiec, G. A. Vazquez Coutino
Free Hopf modules and bimodules over a bialgebra are studied with some details. In particular, we investigate a duality in the category of bimodules in this context. This gives the…