The center of the small quantum group uq(sl3) for l=5: a numerical computation
Abstract
This is a brief note on a numerical computation of the dimension of the center of the small quantum group uq(sl3) at the 5th root of unity. The obtained dimension is 57. Using the description of the regular block of the center for uq(sl3), given in arXiv:1604.07380, we conclude that the dimension of the singular parabolic block of the center for uq(sl3) is 6, and obtain a complete block decomposition of the center in this case.
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