On Pointed Hopf Algebras with Weyl Groups of exceptional type

Abstract

All -1-type pointed Hopf algebras and central quantum linear spaces with Weyl groups of exceptional type are found. It is proved that every non -1-type pointed Hopf algebra with real $G(H)$ is infinite dimensional and every central quantum linear space over finite group is finite dimensional. It is proved that except a few cases Nichols algebras of reducible Yetter-Drinfeld modules over Weyl groups of exceptional type are infinite dimensional.

44pages

References in corpus (3)

• Root systems and Weyl groupoids for Nichols algebras
• The character tables of centralizers in Weyl Groups of $E_6$, $E_7$, $F_4$, $G_2$
• The character tables of centralizers in Weyl Group of $E_8$ II

Cited by in corpus (4)

• The character tables of centralizers in Weyl Group of $E_8$ II
• The character tables of centralizers in Sporadic Simple Groups of $\mathrm{HS}$ and $\mathrm{C}{\mathrm{o}}_3$
• The character tables of centralizers in Sporadic Simple Groups of $\mathrm{McL}$
• On Pointed Hopf Algebras with Sporadic Simple Groups $\mathrm{HS}$ and $Co3$