1992/04/01 by PAUL P. MARTIN, Paul Martin, D. S. McAnally +1 · 1 citation
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Matrix Theory and Algorithms
paper · doi:10.1142/s0217751x92003987
For M a finite dimensional complex vector space and A a certain type of (unital) subalgebra of End(M) (including some specific types of physical significance in the field of quantum spin chains) we give an algorithm for constructing the centraliser or commutant B of A on M. We give examples, and discuss the conditions for centralising to be an involution, i.e. A, B a dual pair, and for B and A to be Morita equivalent. A special case of one example shows that H n (q), U q (sl 2 ) act as a dual pair on the tensored vector representation for all q.