Timeline for A name for "anti-symmetric" Frobenius algebras?
Current License: CC BY-SA 4.0
3 events
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| May 3, 2023 at 17:47 | comment | added | Jake Wetlock | @Dave: Thanks a lot for the suggestion! | |
| May 3, 2023 at 17:18 | comment | added | Dave Benson | Surely in all cases the rule is just $(v,w)=(-1)^{|v||w|}(w,v)$. If $N$ is odd, $|v|$ and $|w|$ have opposite parity so the sign is $+1$ as you observe, while if $N$ is even, they have the same parity so you can use either in place of the product. But in any case, I'd just call this "graded symmetric" by analogy with "graded commutative"; or even just "symmetric" to avoid overloading the language. "Graded anti-symmetric" (or maybe "graded skew-symmetric") should mean $(v,w)=-(-1)^{|v||w|}(w,v)$. | |
| May 3, 2023 at 14:15 | history | asked | Didier de Montblazon | CC BY-SA 4.0 |