caa a22 4500 445386061 CHVBK 20180317143032.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10714-011-1168-8 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1168-8 Braided algebras and the κ -deformed oscillators [Elektronische Daten] [Jerzy Lukierski, Mariusz Woronowicz] Recently there were presented several proposals how to formulate the binary relations describing κ-deformed oscillator algebras. In this paper we shall consider multilinear products of κ-deformed oscillators consistent with the axioms of braided algebras. In general case the braided triple products are quasi-associative and satisfy the hexagon condition depending on the coassociator $${\Phi \in A\otimes A\otimes A}$$ . We shall consider only the products of κ-oscillators consistent with co-associative braided algebra, with $${\Phi =1}$$ . We shall consider three explicit examples of binary κ-deformed oscillator algebra relations and describe briefly their multilinear coassociative extensions satisfying the postulates of braided algebras. The third example, describing κ-deformed oscillators in group manifold approach to κ-deformed fourmomenta, is a new result. Springer Science+Business Media, LLC, 2011 Quantum groups nationallicence Braided algebras nationallicence Multiparticle states nationallicence Lukierski Jerzy Institute for Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-205, Wroclaw, Poland aut Woronowicz Mariusz Institute for Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-205, Wroclaw, Poland aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/9(2011-09-01), 2437-2451 0001-7701 43:9<2437 2011 43 10714 https://doi.org/10.1007/s10714-011-1168-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1168-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lukierski Jerzy Institute for Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-205, Wroclaw, Poland aut NATIONALLICENCE 700 1- Woronowicz Mariusz Institute for Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-205, Wroclaw, Poland aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/9(2011-09-01), 2437-2451 0001-7701 43:9<2437 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer