Derivations and automorphisms of the positive part of the two-parameter quantum group U r,s (B 3)

Citation
Li, Min et Wang, Xiu Ling, Derivations and automorphisms of the positive part of the two-parameter quantum group U r,s (B 3), Acta mathematica Sinica. English series (Print) , 33(2), 2017, pp. 235-251
ISSN journal
14398516
Volume
33
Issue
2
Year of publication
2017
Pages
235 - 251
Database
ACNP
SICI code
Abstract
We compute the derivations of the positive part of the two-parameter quantum group U r,s (B 3) 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 . r,s .0(B 3).