Matching Tag: markov-traces
Let Q ( x ) = x 3 − α x 2 − β x − 1 Q(x)=x^3-\alpha x^2-\beta x-1 Q ( x ) = x 3 − α x 2 − β x − 1 H ( Q , n ) = C [ B n ] / ( Q ( b j ) ; j = 1 , … , n − 1 ) H(Q,n)=\mathbb{C}[B_n]/(Q(b_j);\,j=1,\dots,n-1) H ( Q , n ) = C [ B n ] / ( Q ( b j ) ; j = 1 , … , n − 1 ) I ( α , β ) I_{(\alpha,\beta)} I ( α , β )
Let t 3 0 t_3^0 t 3 0 t 3 0 ( 1 ) = t 3 0 ( s 1 ) = 0 t_3^0(1)=t_3^0(s_1)=0 t 3 0 ( 1 ) = t 3 0 ( s 1 ) = 0 t 3 0 ( s 1 s 2 ) = 1 t_3^0(s_1s_2)=1 t 3 0 ( s 1 s 2 ) = 1
For n ≥ 3 n\geq 3 n ≥ 3 B n ± \mathcal{B}_n^{\pm} B n ± I n ± \mathcal{I}_n^{\pm} I n ±
