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

Location: Znamenskaya Tower, 3 Komsomolskaya St. (entrance inside the arch)