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Showing 2008 · math.GTShow all
3 papers · 2 filters
math.GT2008
The Gram matrix of a Temperley-Lieb algebra is similar to the matrix of chromatic joins
Qi Chen, Jozef H. Przytycki
In this paper we show that the matrix of chromatic joins and the Gram matrix of the Temperley-Lieb algebra are similar (after rescaling), with the change of basis given by diagonal…
math.GT2008★ 8 cited
The quandle of the trefoil knot as the Dehn quandle of the torus
Maciej Niebrzydowski, Jozef H. Przytycki
We prove that the fundamental quandle of the trefoil knot is isomorphic to the projective primitive subquandle of transvections of the symplectic space . The last qua…
math.GT2008
The Gram determinant of the type B Temperley-Lieb algebra
Qi Chen, Jozef H. Przytycki
In this paper, we solve a problem posed by Rodica Simion regarding type B Gram determinants. We present this in a fashion influenced by the work of W.B.R.Lickorish on Witten-Reshet…