97 citations · 506 across the 21 of their papers we have counts for
20 papers
Bicovariant Codifferential Calculi
Andrzej Borowiec, Patryk Mieszkalski
We develop a technique for studying first-order codifferential calculi (FOCCs) initiated by Doi and Quillen in the context of cyclic cohomology. Their classification, for a given c…
On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions
Andrzej Borowiec, Jerzy Kowalski-Glikman, Tomasz Trześniewski
In this paper, we find a class of Carrollian and Galilean contractions of (extended) BMS algebra in 3+1 and 2+1 dimensions. To this end, we investigate possible embeddings of 3D/4D…
Is it possible to separate baryonic from dark matter within the -CDM formalism?
Andrzej Borowiec, Marcin Postolak
We found general solutions of matter stress-energy (non-)conservation in scalar-tensor FLRW-type cosmological models by extending the logotropic formalism to the case of non-minima…
Quantum deformations of Euclidean, Lorentz, Kleinian and quaternionic symmetries in unified setting -- Addendum
A. Borowiec, J. Lukierski, V. N. Tolstoy
In our previous paper we obtained a full classification of nonequivalent quasitriangular quantum deformations for the complex Euclidean Lie symmetry $\mathfrak{o}(4;\mathbb{C…
Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting
A. Borowiec, J. Lukierski, V. N. Tolstoy
We employ new calculational technique and present complete list of classical -matrices for complex homogeneous orthogonal Lie algebra , the rot…
New class of quantum deformations of D=4 Euclidean supersymmetry
A. Borowiec, J. Lukierski, M. Mozrzymas +1
We present the class of deformations of simple Euclidean superalgebra, which describe the supersymmetrization of some Lie algebraic noncommutativity of D=4 Euclidean space-time. Th…