Center and Universal R-matrix for Quantized Borcherds Superalgebras

Abstract

We construct a nondegenerate symmetric bilinear form on quantized enveloping algebras associated to Borcherds superalgebras. With this, we study its center and its universal R-matrix.

arXiv comment25 pages, figures drawn with the "texdraw" package

Cited by in corpus (2)

• Higher level $q$-oscillator representations for $U_q(C_n^{(1)}),U_q(C^{(2)}(n+1))$ and $U_q(B^{(1)}(0,n))$
• On the Center of Two-parameter Quantum Groups $U_{r,s}({\mathfrak{so}}_{2n+1})$