An exceptional splitting of Khovanov’s arc algebras in characteristic 2
Tom 264 / 2024
Fundamenta Mathematicae 264 (2024), 69-84
MSC: Primary 57K18; Secondary 57K16, 16D20, 16W50
DOI: 10.4064/fm230712-2-12
Opublikowany online: 27 March 2024
Streszczenie
We show that there is an associative algebra such that, over a base ring R of characteristic 2, Khovanov’s arc algebra H_n is isomorphic to the algebra \widetilde H_n[x]/(x^2). We also show a similar result for bimodules associated to planar tangles and prove that there is no such isomorphism over \mathbb Z.
