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Gröbner-Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\) - MaRDI portal

Gröbner-Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\) (Q330579)

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scientific article; zbMATH DE number 6643398
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English
Gröbner-Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\)
scientific article; zbMATH DE number 6643398

    Statements

    Gröbner-Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\) (English)
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    26 October 2016
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    A new application of the theory of Gröbner-Shirshov bases is shown. In this occasion, the computation of the first three steps of Anick's resolution for the graded trivial \(U\)-module \(k\) is made. Furthermore, the global dimension of \(U\) is computed.
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    Anick resolution
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    minimal projective resolution
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    Gröbner-Shirshov basis
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    quantum group
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    global dimension
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