Anick Resolution and the Minimal Projective Resolution of Uq+(C3)

In this paper, from the Anick’s resolution and Gröbner—Shirshov basis for quantized enveloping algebra of type C 3 , we compute the minimal projective resolution of the trivial module U q + ( C 3 ) and as an application, we obtain that the global dimension of U q + ( C 3 ) is 9.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2023, Vol.39 (6), p.1022-1052
Main Authors: Mao, Ling Ling, Xin, Xiao Long
Format: Article
Language:English
Subjects:
Algebra
Mathematical analysis
Mathematics
Mathematics and Statistics
Projective geometry
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Summary:In this paper, from the Anick’s resolution and Gröbner—Shirshov basis for quantized enveloping algebra of type C 3 , we compute the minimal projective resolution of the trivial module U q + ( C 3 ) and as an application, we obtain that the global dimension of U q + ( C 3 ) is 9.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-023-1194-y