Timeline for Are cyclotomic Khovanov-Lauda-Rouquier algebras symmetric?
Current License: CC BY-SA 4.0
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| Sep 14, 2021 at 23:41 | history | edited | Ben Webster♦ | CC BY-SA 4.0 |
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| Dec 23, 2013 at 22:37 | comment | added | Andrew | Thanks for this, I haven't had a chance to look at [KK] again yet. Of course, we got the symmetry for free but I wouldn't claim that our construction of the form in type A is in any way natural... | |
| Dec 23, 2013 at 2:41 | comment | added | Ben Webster♦ | @Andrew It's not explicitly proven in Kang and Kashiwara, but the existence of a Frobenius structure, at least, follows immediately from their results by work of Rouquier (5.16 in 0812.5023). I think you can assure that this Frobenius structure is symmetric on general principle (this is a slightly tricky point; even in the more explicit proof in my paper, the "most natural" Frobenius structure is only symmetric up to scalars, which you have to go back in and fix by hand). | |
| Dec 22, 2013 at 20:38 | comment | added | Andrew | Hi Ben, just came across this. I didn't know that this was also in Kang-Kashiwara. In type A only, Jun Hu and I proved this is in our paper “Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A”, Adv. Math., 225 (2010), 598-642. arXiv:0907.2985 | |
| Jun 14, 2011 at 22:28 | history | edited | Ben Webster♦ | CC BY-SA 3.0 |
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| Oct 26, 2009 at 15:06 | vote | accept | Ben Webster♦ | ||
| Oct 23, 2009 at 16:08 | history | answered | Ben Webster♦ | CC BY-SA 2.5 |