"Cyclotomic numbers and Chebyshev polynomials"의 두 판 사이의 차이

2010년 3월 26일 (금) 10:35 판

borrowed from Andrews-Gordon identity
quantum dimension and there recurrence relation
\(d_i=\frac{\sin \frac{(i+1)\pi}{k+2}}{\sin \frac{\pi}{k+2}}}\) satisfies
\(d_i^2=1+d_{i-1}d_{i+1}\) where \(d_0=1\), \(d_k=1\)

(*choose k for c (2,k+2) minimal model*)k := 11
d[k_, i_] := Sin[(i + 1) Pi/(k + 2)]/Sin[Pi/(k + 2)]
Table[{i, d[k, i]}, {i, 1, k}] // TableForm
Table[{i, N[(d[k, i])^2 - (1 + d[k, i - 1]*d[k, i + 1]), 10]}, {i, 1,
k}] // TableForm
Plot[d[k, i], {i, 0, 2 k}]

@@ 21번째 줄: / 21번째 줄: @@
 * matrix entries in the modular group representation coming from rational VOAs
 * index of subfactors ?
+* [http://pythagoras0.springnote.com/pages/3719171 원분다항식(cyclotomic polynomial)]