THE sl3-WEB ALGEBRA

@article{Mackaay2012THESA,
  title={THE sl3-WEB ALGEBRA},
  author={M. Mackaay and Weiwei Pan and D. Tubbenhauer},
  journal={arXiv: Quantum Algebra},
  year={2012}
}
  • M. Mackaay, Weiwei Pan, D. Tubbenhauer
  • Published 2012
  • Mathematics
  • arXiv: Quantum Algebra
  • In this paper we use Kuperberg's sl3-webs and Khovanov's sl3-foams to define a new algebra K S , which we call the sl3-web algebra. It is the sl3 analogue of Khovanov's arc algebra. We prove that K S is a graded symmetric Frobenius algebra. Furthermore, we categorify an instance of q-skew Howe duality, which allows us to prove that K S is Morita equivalent to a cer- tain cyclotomic KLR-algebra of level 3. This allows us to determine the split Grothendieck group K ⊕ 0 (W S )Q(q), to show that… CONTINUE READING

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