Finite dimensional Nichols algebras over finite cycle groups

Mathematics – Number Theory

Scientific paper

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42 pages

Scientific paper

All finite dimensional Nichols algebras with diagonal type of connected
finite dimensional Yetter-Drinfeld modules over finite cycle groups are found.
It is proved that every finite dimensional super Nichols algebra is a quantum
linear space; the Nichols algebra of every connected Yetter-Drinfeld module V
over finite cycle group $G$ with dim V >3 is infinite dimensional.

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