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arXiv · 1612.07964

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV. Unipotent classes in Chevalley and Steinberg groups

Nicolás Andruskiewitsch·Giovanna Carnovale·Gastón Andrés García
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Abstract

We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSL_n(q) and PSp_{2n}(q), collapse (i.e. are never the support of a finite-dimensional Nichols algebra), with a possible exception on one class of involutions in PSU_n(2^m).

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Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García. 2016-12-23. Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV. Unipotent classes in Chevalley and Steinberg groups. https://arxiv.org/abs/1612.07964

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