5 papers
The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan
We show that scalar discrete-series unitary irreducible representations (UIRs) () of the de Sitter (dS) group admit a dS-covariant Kre…
Skew polycyclic over finite chain rings associated to trinomials
Maryam Bajalan, Edgar MartÃnez-Moro, Hassan Ou-azzou
This work studies skew polycyclic codes over finite chain rings defined by central trinomials. For this class of codes, we investigate Hamming equivalence in the non-commutative (s…
Some structural properties of mixed orthogonal arrays and their irredundancy
Maryam Bajalan, Peter Boyvalenkov, Ferruh Ãzbudak
Mixed (asymmetric) orthogonal arrays (MOAs) generalize classical orthogonal arrays by allowing columns over different alphabets. However, their study requires very different struct…
Duality on group algebras over finite chain rings: applications to additive group codes
Maryam Bajalan, Javier de la Cruz, Alexandre Fotue Tabue +1
Given a finite group and an extension of finite chain rings , one can consider the group rings and . The group ring …
Polycyclic codes over serial rings and their annihilator CSS construction
Maryam Bajalan, Edgar Martinez-Moro
In this paper, we investigate the algebraic structure for polycyclic codes over a specific class of serial rings, defined as $\mathscr R=R[x_1,\ldots, x_s]/\langle t_1(x_1),\ldots,…