2 papers
math.QA2022
Quantum vector fields via quantum doubles and their applications
Dimitry Gurevich, Pavel Saponov
By treating generators of the reflection equation algebra corresponding to a Hecke symmetry as quantum analogs of vector fields, we exhibit the corresponding Leibniz rule via the s…
math.QA2020
Noncommutative geometry on central extension of U(u(2))
Dimitri Gurevich, Pavel Saponov
In our previous publications we have introduced analogs of partial derivatives on the algebras U(gl(N)). In the present paper we compare two methods of introducing these analogs: v…