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Derivations and automorphisms of the positive part of the two-parameter quantum group Ur,s(B3)

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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).

Keywords: parameter quantum; part two; group; positive part; two parameter; parameter

Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2017

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