Colored Temperley-Lieb categories are semisimple under specified conditions with explicit simple object decompositions, and the Khovanov-Laugwitz conjecture on Gram determinants is proved via two-variable Chebyshev polynomials.
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Temperley-Lieb categories with coloured regions and Jones-Wenzl projectors
Colored Temperley-Lieb categories are semisimple under specified conditions with explicit simple object decompositions, and the Khovanov-Laugwitz conjecture on Gram determinants is proved via two-variable Chebyshev polynomials.