Timeline for Hopf algebras arising as Group Algebras
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Dec 16, 2009 at 16:02 | comment | added | Ben Webster♦ | They're the functions on a super group scheme. | |
| Dec 16, 2009 at 15:29 | comment | added | Greg Kuperberg | You could also call them "Hopf superalgebras", and there is the interesting phenomenon that a Hopf superalgebra is not strictly a Hopf algebra. The bialgebra axiom changes in the category of supervector spaces = $\mathbb{Z}/2$-graded vector spaces. Cohomology rings are also supercommutative. Anyway, supercommutative Hopf superalgebras are a lot like non-reduced group schemes. (You probably know all this, Mark, but just to relate it to the other answers.) | |
| Dec 16, 2009 at 9:44 | history | answered | Mark Hovey | CC BY-SA 2.5 |