Double centralizing theorem with respect to q-commutativity relation
Грегор Долинар, Alexander Emilevich Guterman, Bojan Kuzma, Ol'ga Viktorovna Markova · Journal of Algebra and Its Applications · 2018
Linear algebraic version of celebrated Double Centralizing Theorem states that the set of matrices commuting with all matrices from a centralizer of a given matrix [Formula: see text] coincides with the set of polynomials in [Formula: see text]. We examine the existence of an analogue of this classical result once commutativity is substituted by commutativity up to a factor, which is an important relation in quantum physics.