4 citations · 5 across the 4 of their papers we have counts for
4 papers
Irreducibility criterion for the set of two matrices
Alexandre Kosyak
We give the criterion for the irreducibility, the Schur irreducibility and the indecomposability of the set of two matrices and in terms of the subalgebra a…
Representations of the braid group B_n and the highest weight modules of U(sl_{n-1}) and U_q(sl_{n-1})
Alexandre V. Kosyak
In [1] we have constructed a [n+1/2]+1 parameters family of irreducible representations of the Braid group B_3 in arbitrary dimension using a deformation of the Pascal triangle…
Type factors generated by regular representations of infinite dimensional nilpotent group
Alexandre Kosyak
We study the von Neumann algebra, generated by the unitary representations of infinite-dimensional groups nilpotent group . The conditions of the irreducibility of…
q-Pascal's triangle and irreducible representations of the braid group B_3 in arbitrary dimension
Sergio Albeverio, Alexandre Kosyak
We construct a [(n+1)/2]+1 parameters family of irreducible representations of the Braid group B_3 in arbitrary dimension n\in N, using a q-deformation of the Pascal triangle. This…