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Artin-Schelter regular algebras of dimension five

Tom 93 / 2011

Gunnar Fløystad, Jon Eivind Vatne Banach Center Publications 93 (2011), 19-39 MSC: Primary 16S38; Secondary 16E05, 14A22. DOI: 10.4064/bc93-0-2

Streszczenie

We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.

Autorzy

  • Gunnar FløystadMatematisk institutt
    Johs. Brunsgt. 12
    N-5008 Bergen, Norway
    e-mail
  • Jon Eivind VatneFaculty of Engineering
    P.O. Box 7030
    N-5020 Bergen, Norway
    e-mail

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