We propose a generalization of meanders, i.e., configurations of non-self-intersecting loops crossing a line through a given number of points, to SU(N). This uses the reformulation of meanders as pairs of reduced elements of the Temperley-Lieb algebra, a SU(2)-related quotient of the Hecke algebra, with a natural gener" alization to SU(N). We also derive explicit formulas for SU(N) meander determi" nants, defined as the Gram determinants of the corresponding bases of the Hecke algebra.
|Original language||English (US)|
|Number of pages||39|
|Journal||Journal of Mathematical Physics|
|State||Published - Nov 1997|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics