Abstract
In this paper, by using Anick’s resolution and Gröbner–Shirshov basis for quantum group of type \(A_n\), we compute the first three steps of a minimal projective resolution of the trivial module of \(U_q^+(A_n)\) and as an application we compute the global dimension of \(U_q^+(A_n)\).
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Supported by the National Natural Science Foundation of China (Grant No. 11361056).
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Yunus, G., Obul, A. Gröbner–Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\) . Rend. Circ. Mat. Palermo, II. Ser 65, 283–296 (2016). https://doi.org/10.1007/s12215-016-0233-2
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DOI: https://doi.org/10.1007/s12215-016-0233-2