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
Abstract
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Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García
Abstract
Open-access reader
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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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).
Key concepts: Unipotent, Group of Lie type, Mathematics, Simple (philosophy), Pure mathematics, Lie algebra, Class (philosophy), PSL