Аннотация:
By a quantum matrix algebra (QMA) I mean an algebra generated
by entries of a matrix subject to some relations. The best
known QMAs are RTT algebras and Reflection Equation ones. Each of
them is associated with an R-matrix (constant or depending on parameters).
QMAs play a very important role in quantum integrable system theory.
I plan exhibit some properties of the mentioned algebras and explain
their role in this theory.