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SUMMARY:Stephen Doty (Loyola University Chicago)
DTSTART:20220215T003000Z
DTEND:20220215T013000Z
DTSTAMP:20260423T052757Z
UID:OISTRTS/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/30/"
 >Schur-Weyl duality for braid and twin groups via the Burau representation
 </a>\nby Stephen Doty (Loyola University Chicago) as part of OIST represen
 tation theory seminar\n\n\nAbstract\nThe natural permutation representatio
 n of the symmetric group admits a q-analogue known as the Burau representa
 tion. The symmetric group admits two natural covering groups: the braid gr
 oup of Artin and the twin group of Khovanov\, obtained respectively by for
 getting the cubic and quadratic relations in the Coxeter presentation of t
 he symmetric group. By computing centralizers of tensor powers of the Bura
 u representation\, we obtain new instances of Schur-Weyl duality for braid
  groups and twin groups\, in terms of the partial permutation and partial 
 Brauer algebras. The method produces many representations of each group th
 at can be understood combinatorially. (This is joint work with Tony Giaqui
 nto.)\n
LOCATION:https://researchseminars.org/talk/OISTRTS/30/
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