We compute the derivations of the positive part of the two-parameter quantum group Ur,s(B3) and show that the Hochschild cohomology group of degree 1 of this algebra is a three-dimensional… Click to show full abstract
We compute the derivations of the positive part of the two-parameter quantum group Ur,s(B3) and show that the Hochschild cohomology group of degree 1 of this algebra is a three-dimensional vector space over the base field C. We also compute the groups of (Hopf) algebra automorphisms of the augmented two-parameter quantized enveloping algebra Ǔr,s≥0(B3).
               
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