384 citations · 1.8k across the 60 of their papers we have counts for
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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…
A covariant formalism for Chern-Simons gravity
A. Borowiec, M. Ferraris, M. Francaviglia
Chern--Simons type Lagrangians in dimensions are analyzed from the point of view of their covariance and globality. We use the transgression formula to find out a new fully c…
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…
Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics
A. Borowiec, J. Lukierski, V. N. Tolstoy
The twisting function describing a nonstandard (super-Jordanian) quantum deformation of is given in explicite closed form. The quantum coproducts and universal R-matrix…