For roots of unity r,s with r^2≠s^2, the algebra U^+_{r,s}(B2) is a PI algebra with explicitly computed PI degree, and all its finite-dimensional simple modules are classified into five families.
Two-parameter quantum groups and drinfeld doubles
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Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U^+_{r,s}(B_2)$
For roots of unity r,s with r^2≠s^2, the algebra U^+_{r,s}(B2) is a PI algebra with explicitly computed PI degree, and all its finite-dimensional simple modules are classified into five families.