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

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

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.

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Veröffentlicht in:Acta mathematica Sinica. English series 2021, Vol.37 (9), p.1471-1484
Hauptverfasser: Zhong, Yong Yue, Tang, Xiao Min
Format: Artikel
Sprache:eng
Schlagworte:
Homology
Mathematics
Mathematics and Statistics
Parameters
Toruses
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Zusammenfassung: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.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-021-9571-x