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Anick Resolution and the Minimal Projective Resolution of U +q (C3)

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Abstract

In this paper, from the Anick’s resolution and Gröbner—Shirshov basis for quantized enveloping algebra of type C3, we compute the minimal projective resolution of the trivial module U +q (C3) and as an application, we obtain that the global dimension of U +q (C3) is 9.

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Authors and Affiliations

  1. School of Mathematics, Northwest University, Xi’an, 710127, P. R. China

    Ling Ling Mao & Xiao Long Xin

  2. School of Science, Xi’an Polytechnic University, Xi’an, 710048, P. R. China

    Xiao Long Xin

Authors
  1. Ling Ling Mao
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  2. Xiao Long Xin
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Correspondence to Xiao Long Xin.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 11971384) and the Natural Science Foundation of Shaanxi Province (Grant No. 2021JQ-894)

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Mao, L.L., Xin, X.L. Anick Resolution and the Minimal Projective Resolution of U +q (C3). Acta. Math. Sin.-English Ser. 39, 1022–1052 (2023). https://doi.org/10.1007/s10114-023-1194-y

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  • DOI: https://doi.org/10.1007/s10114-023-1194-y

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