Prefer a chat interface with context about you and your work?
Quantum Weyl algebras and deformations of<i>U</i>(<i>g</i>)
We construct new deformations of the universal enveloping algebras from the quantum Weyl algebras for any R-matrix.Our new algebra (in the case of g = SI2) is a noncommutative and noncocommutative bialgebra (i.e.quantum semigroup) with its localization being a Hopf algebra (i.e.quantum group).The ring structure and representation theory of our …