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math.QA2009★ 3 cited
A class of left quantum groups modeled after SL_q(n)
Aaron Lauve, Earl J. Taft
For each n >1, we construct a left quantum group, i.e., a left Hopf algebra H generated by comatrix units X_{ij} and modeled after SL_q(n), which has a left antipode but no right a…
math.QA2009
Hopf quivers and Nichols algebras in positive characteristic
Claude Cibils, Aaron Lauve, Sarah Witherspoon
We apply a combinatorial formula of the first author and Rosso, for products in Hopf quiver algebras, to determine the structure of Nichols algebras. We illustrate this technique b…