The center of the small quantum group u_q(sl₃) for l=5: a numerical computation

2016/11/27 by Steven Glenn Jackson, Jackson, Steven Glenn, Anna Lachowska +1
Mathematics · #17B37 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B37

paper · pdf · doi:10.48550/arxiv.1611.08872

5 pages

arxiv created 2016/11/27 · arxiv updated 2016/11/29

Abstract

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

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