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SUMMARY:Shinsuke Tsuchioka (Tokyo Institute of Technology)
DTSTART:20220614T073000Z
DTEND:20220614T083000Z
DTSTAMP:20260423T052756Z
UID:OISTRTS/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/33/"
 >An example of A2 Rogers-Ramanujan bipartition identities of level 3</a>\n
 by Shinsuke Tsuchioka (Tokyo Institute of Technology) as part of OIST repr
 esentation theory seminar\n\n\nAbstract\nIn the 1970s\, Lepowsky-Milne dis
 covered a similarity between the infinite products of the Rogers-Ramanujan
  identities (RR identities\, for short) and the principal characters of th
 e level 3 standard modules of the affine Lie algebra of type \\(A^{(1)}_{1
 }\\). Subsequently\, Lepowsky-Wilson gave a Lie-theoretic interpretation a
 nd a proof of the RR identities with the vertex operators. In this talk\, 
 I will present some results (arXiv:2205.04811) for the level 3 case of typ
 e \\(A^{(1)}_{2}\\).\n
LOCATION:https://researchseminars.org/talk/OISTRTS/33/
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