BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Richard P. Stanley Seminar in Combinatorics
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260815T062350Z
UID:tag:localist.com\,2008:EventInstance_50824786331843
DTSTART:20251010T193000Z
DTEND:20251010T203000Z
DESCRIPTION:Speaker: Sheila Sundaram (University of Minnesota)\n\nTitle: On
  a variant of Lie_n\n\nAbstract:  This talk will discuss a curious variant
  of the celebrated representation Lie(n) of the symmetric group  on the mu
 ltilinear component of the free Lie algebra on n generators. Introduced by
  the speaker a few years ago\, the variant Lie(n\,2) satisfies the analogu
 e of almost every known property of Lie(n).       \n\nAs one example\, the
  exterior powers of the variant Lie(n\,2) decompose the regular representa
 tion of the symmetric group. The classical free Lie algebra counterpart of
  this result is the 1942 theorem of Robert Thrall which also follows from 
 the earlier Poincar\\'e-Birkhoff-Witt theorem: it is the well-known decomp
 osition of the regular representation given by the symmetrised powers of t
 he representations Lie(n)\, that is\, the higher Lie modules.        \n\nT
 he talk will survey this and other properties of the variant\, including s
 ome recent developments.
LOCATION:Harvard Science Center\, Room 232
SUMMARY:Richard P. Stanley Seminar in Combinatorics
URL;VALUE=URI:https://calendar.mit.edu/event/richard-p-stanley-seminar-in-c
 ombinatorics-1018
CATEGORIES:Conferences/Seminars/Lectures
END:VEVENT
END:VCALENDAR