Quantum groups with partial commutation relations

Commutation Relations for Arbitrary Quantum Minors

Complete sets of commutation relations for arbitrary pairs of quantum minors are computed, with explicit coefficients in closed form.

COMMUTATION RELATIONS AMONG QUANTUM MINORS IN Oq(Mn(k))

COMMUTATION RELATIONS AMONG QUANTUM MINORS IN Oq(Mn(k))

Commutation relations among quantum minors in Oq(Mn(k))

In this paper we compute explicit formulas for the commutation relations between any two quantum minors in the quantum matrix bialgebraOq (Mn(k)). The product of any two minors is expressed as linear combination of products of minors strictly less in certain orderings.  2004 Elsevier Inc. All rights reserved.

COMMUTATION RELATIONS AMONG GENERIC QUANTUM MINORS IN Oq(Mn(k))