15 citations · 67 across the 26 of their papers we have counts for
27 papers
Constructive quantum mechanics based on finite groups
V. V. Kornyak
A formulation of quantum mechanics based on replacing the general unitary group by finite groups is considered. To solve problems arising in the context of this formulation, we use…
Decomposition of a Quantum System Into Subsystems in Finite Quantum Mechanics
Vladimir V. Kornyak
Any Hilbert space with composite dimension can be factorized into a tensor product of smaller Hilbert spaces. This allows to decompose a quantum system into subsystems. We propose…
An Algorithm for Computing Invariant Projectors in Representations of Wreath Products
Vladimir V. Kornyak
We describe an algorithm for computing the complete set of primitive orthogonal idempotents in the centralizer ring of the permutation representation of a wreath product. This set…
A new algorithm for irreducible decomposition of representations of finite groups
Vladimir V Kornyak
An algorithm for irreducible decomposition of representations of finite groups over fields of characteristic zero is described. The algorithm uses the fact that the decomposition i…
An Algorithm to Decompose Permutation Representations of Finite Groups: Polynomial Algebra Approach
Vladimir V. Kornyak
We describe an algorithm for splitting permutation representations of finite group over fields of characteristic zero into irreducible components. The algorithm is based on the fac…
Quantum models based on finite groups
Vladimir V. Kornyak
We consider a constructive modification of quantum-mechanical formalism. Replacement of a general unitary group by unitary representations of finite groups makes it possible to rep…