Coxeter Graphs and Towers of Algebras¶
Goodman, F. M., Harpe, d. l., Pierre, & Jones, V. F. R. (1989). Coxeter Graphs and Towers of Algebras. Springer-Verlag.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Temperley–Lieb Algebra
- Some sources use idempotent generators \(p_i^2=p_i\) and place a scalar in the adjacent relation; others use \(U_i^2=\delta U_i\), or parameterize \(\delta\) by \(q+q^{-1}\), \(-A^2-A^{-2}\), or a subfactor index
This sourceGoodman, de la Harpe and Jones use the idempotent normalisation - e_i^2 = e_i with e_i e_{i+-1} e_i = tau e_i, tau the reciprocal of the subfactor index; the delta, q + q^{-1} and -A^2 - A^{-2} conventions named alongside it come from other sources.
- Some sources use idempotent generators \(p_i^2=p_i\) and place a scalar in the adjacent relation; others use \(U_i^2=\delta U_i\), or parameterize \(\delta\) by \(q+q^{-1}\), \(-A^2-A^{-2}\), or a subfactor index
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