Analytical thinking is dominated by binary ideas. From pair-wise interactions, to algebraic
operations, to compositions of processes, to network models, binary structures are deeply …

In the current version of QCD the quarks are described by ordinary Dirac fields, organized in
the following internal symmetry multiplets: the SU (3) colour, the SU (2) flavour, and broken …

This paper presents different mathematical structures connected with the parastatistics of
braided Majorana qubits and clarifies their role; in particular, mixed-bracket Heisenberg-Lie …

Ternary Clifford algebras are an essential ingredient in a cubic factorization of the Laplacian
and using a ternary Clifford analysis build on such spaces one obtains a Dirac-type operator …

Motivated by a ternary generalization of the Pauli exclusion principle proposed by R. Kerner,
we propose a notion of a Z 3-skew-symmetric covariant SO (3)-tensor of the third order …

In this paper the author is presenting a theory of functions on complex ternary algebras. The
theory developed here is a particular case of the more general case discussed in a volume …

We present a generalized version of a quantum oscillator described by means of a ternary
Heisenberg algebra. The model leads to a sixth-order Hamiltonian whose energy levels can …

We show that each irreducible tensor representation of weight 2 of the rotation group in the
space of rank 3 tensors over three-dimensional space gives rise to an associative algebra …

We propose a unital associative algebra, which is motivated by a generalization of the Pauli
exclusion principle proposed within the framework of the quark model. The generators of this …

Основная цель статьи–представить обобщенную версию квантового осциллятора,
задающегося с помощью тернарной алгебры Гейзенберга. Эта модель приводит к …