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Derivations of the Positive Part of the Two-parameter Quantum Group of Type G2

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In this paper, we compute the derivations of the positive part of the two-parameter quantum group of type G 2 by embedding it into a quantum torus. We also show… Click to show full abstract

In this paper, we compute the derivations of the positive part of the two-parameter quantum group of type G 2 by embedding it into a quantum torus. We also show that the first Hochschild cohomology group of this algebra is a two-dimensional vector space over the complex field.

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

Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2021

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