科研之友
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摘要
In this paper we use Kuperberg's -webs and Khovanov's -foams to define a new algebra , which we call the -web algebra. It is the analogue of Khovanov's arc algebra. We prove that is a graded symmetric Frobenius algebra. Furthermore, we categorify an instance of -skew Howe duality, which allows us to prove that is Morita equivalent to a certain cyclotomic KLR-algebra of level 3. This allows us to determine the split Grothendieck group , to show that its center is isomorphic to the cohomology ring of a certain Spaltenstein variety, and to prove that is a graded cellular algebra.
- 出版日期2014-6
