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We present the knot polynomial associated to the 12-dimensional sporadic Nichols algebra with automorphism, compute it for all knots with 16 crossings and discuss the found patterns. This knot polynomial is not a Vassiliev power series. We ponder how it compares to the knot polynomials that come from Lie algebras and their representations and what the other knot polynomials associated with the higher dimensional sporadic Nichols algebras are.

生成讲解博客的中文版本

生成AI智能校验的中文版本