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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20230124T120622Z
DTSTART:20230131T130000Z
DTEND:20230131T140000Z
SUMMARY:Manchester Algebra Seminar - Alexis Langlois-RĂ©millard
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}nua-ld8nz1q
y-ylcy8v
DESCRIPTION:Speaker: Alexis Langlois-RĂ©millard - U Ghent\n\nTitle: Repre
sentations of the Dunkl total angular momentum algebra\nAbstract: The Du
nkl total angular momentum algebra is the supercentraliser of the realis
ation of the orthosymplectic Lie superalgebra osp(1|2) present inside th
e tensor product of a rational Cherednik algebra and a Clifford algebra.
Its representation theory changes according to the reflection group inv
olved\, the dimension of the space and a parameter function. In this tal
k\, we focus on the four-dimensional case\, with the group being the pro
duct of two dihedral groups. There we can define a subalgebra admitting
a triangular decomposition that captures the structure of the finite-dim
ensional representations of the whole algebra. We then use it to give a
coarse classification of the irreducible representations. We finish with
some closing words sketching how to refine the coarse classification to
a full classification.\n\n\nTea and biscuits 12:45 in the foyer
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams\, Alan Turing Building\, Manchester
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