Central elements and evaluation map for the quantum queer superalgebras

Key Points

• The main aim is to explore the R-matrix presentations of the quantum queer superalgebras and their central elements.
• Derived crossing symmetry relations for R-matrices.
• Constructed central elements in both Uq(qn) and Uq(q̂n).
• Produced an epimorphism relating the two superalgebras.
• Central elements were constructed using derived relations.
• An epimorphism was established, showing a mapping between the two superalgebras.
• The results reveal symmetry properties critical for understanding these algebras.