Minimal Hilbert series for quadratic algebras and the Anick conjecture
نویسندگان
چکیده
منابع مشابه
The strong Anick conjecture.
Recently, Umirbaev proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra Kx, y, z over a field K of characteristic 0. In particular, the well known Anick automorphism is wild. In this work, we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordinates of...
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Abstact We are discussing certain combinatorial and counting problems related to quadratic algebras. First we give examples which confirm the Anick conjecture on the minimal Hilbert series for algebras given by n generators and n(n−1) 2 relations for n 6 7. Then we investigate combinatorial structure of colored graph associated to relations of RIT algebra. Precise descriptions of graphs (maps) ...
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Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra K〈x, y, z〉 over a field K of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordin...
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ژورنال
عنوان ژورنال: Proceedings of the Estonian Academy of Sciences
سال: 2010
ISSN: 1736-6046
DOI: 10.3176/proc.2010.4.08