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arXiv · 1611.08872

The center of the small quantum group u_q(sl_3) for l=5: a numerical computation

Steven Glenn Jackson·Anna Lachowska
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Abstract

This is a brief note on a numerical computation of the dimension of the center of the small quantum group u_q(sl_3) at the 5th root of unity. The obtained dimension is 57. Using the description of the regular block of the center for u_q(sl_3), given in arXiv:1604.07380, we conclude that the dimension of the singular parabolic block of the center for u_q(sl_3) is 6, and obtain a complete block decomposition of the center in this case.

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Steven Glenn Jackson, Anna Lachowska. 2016-11-27. The center of the small quantum group u_q(sl_3) for l=5: a numerical computation. https://arxiv.org/abs/1611.08872

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