On Pointed Hopf Algebras with Sporadic Simple Groups $\mathrm{HS}$ and $Co3$

Abstract

Every non quasi- -1-type Nichols algebra is infinite dimensional. All quasi- -1-type Nichols algebra over sporadic simple groups $\mathrm{HS}$ and $Co3$ are found.

9pages

References in corpus (5)

• Root systems and Weyl groupoids for Nichols algebras
• On Pointed Hopf Algebras with Weyl Groups of exceptional type
• 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
• The character tables of centralizers in Sporadic Simple Groups of $\mathrm{HS}$ and $\mathrm{C}{\mathrm{o}}_3$