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SUMMARY:Alice Dell'Arciprete (University of East Anglia)
DTSTART:20220719T073000Z
DTEND:20220719T083000Z
DTSTAMP:20260423T021256Z
UID:OISTRTS/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/36/"
 >Scopes equivalence for blocks of Ariki-Koike algebras</a>\nby Alice Dell'
 Arciprete (University of East Anglia) as part of OIST representation theor
 y seminar\n\n\nAbstract\nWe consider representations of the Ariki-Koike al
 gebra\, a $q$-deformation of the group algebra of the complex reflection g
 roup $C_r \\wr S_n$. The representations of this algebra are naturally ind
 exed by multipartitions of $n$. We examine blocks of the Ariki-Koike algeb
 ra\, in an attempt to generalise the combinatorial representation theory o
 f the Iwahori-Hecke algebra. In particular\, we prove a sufficient conditi
 on such that restriction of modules leads to a natural correspondence betw
 een the multipartitions of $n$ whose Specht modules belong to a block $B$ 
 and those of $n-\\delta_i(B)$ whose Specht modules belong to the block $B'
 $\, obtained from $B$ applying a Scopes' equivalence.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/36/
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