Two-row W-graphs in affine type A

Dongkwan Kim, Pavlo Pylyavskyy

Research output: Contribution to journalArticlepeer-review


For affine symmetric groups we construct finite W-graphs corresponding to two-row shapes, and prove their uniqueness. This gives the first non-trivial family of purely combinatorial constructions of finite W-graphs in an affine type. We compare our construction with quotients of periodic W-graphs defined by Lusztig. Under certain positivity assumption on the latter the two are shown to be isomorphic.

Original languageEnglish (US)
Article number107207
JournalAdvances in Mathematics
StatePublished - Aug 26 2020

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© 2020 Elsevier Inc.

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  • Symmetric group
  • W-graph


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