Mathematics > Quantum Algebra
[Submitted on 19 Feb 2007 (v1), last revised 14 Aug 2007 (this version, v3)]
Title:On pointed Hopf algebras associated with alternating and dihedral groups
View PDFAbstract: We classify finite-dimensional complex pointed Hopf algebra with group of group-like elements isomorphic to A_5. We show that any pointed Hopf algebra with infinitesimal braiding associated with the conjugacy class of $\pi$ \in $A_n$ is infinite-dimensional if the order of $\pi$ is odd except for $\pi=(1 2 3)$ in $A_4$. We also study pointed Hopf algebras over the dihedral groups.
Submission history
From: Fernando Fantino [view email][v1] Mon, 19 Feb 2007 19:05:15 UTC (16 KB)
[v2] Thu, 12 Apr 2007 20:16:05 UTC (16 KB)
[v3] Tue, 14 Aug 2007 20:04:49 UTC (16 KB)
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