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SUMMARY:Alice Dell'Arciprete (UEA)
DTSTART:20230509T130000Z
DTEND:20230509T140000Z
DTSTAMP:20260421T154143Z
UID:UEAPS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/12/">S
 copes equivalence for blocks of Ariki-Koike algebras</a>\nby Alice Dell'Ar
 ciprete (UEA) as part of ANTLR seminar\n\nLecture held in NEWSCI 0.06.\n\n
 Abstract\nWe consider representations of the Ariki-Koike algebra\, a $q$-d
 eformation of the group algebra of the complex reflection group $C_r\\wr\\
 mathfrak{S}_n$. The representations of this algebra are naturally indexed 
 by multipartitions of $n$. We examine blocks of the Ariki-Koike algebra\, 
 in an attempt to generalise the combinatorial representation theory of the
  Iwahori-Hecke algebra. In particular\, we prove a sufficient condition su
 ch that restriction of modules leads to a natural correspondence between t
 he multipartitions of $n$ whose Specht modules belong to a block $B$ and t
 hose of $n−\\delta_i(B)$ whose Specht modules belong to the block $B'$\,
  obtained from $B$ applying a Scopes' equivalence. This gives us an equali
 ty of decomposition numbers for the corresponding Ariki-Koike algebras.\n
LOCATION:https://researchseminars.org/talk/UEAPS/12/
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