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math.RT2013★ 1 cited
Crystal isomorphisms in Fock spaces and Schensted correspondence in affine type A
Thomas Gerber
We are interested in the structure of the crystal graph of level Fock spaces representations of . Since the work of Shan [26], we kno…
math.RT2013★ 8 cited
Generalised canonical basic sets for Ariki-Koike algebras
Thomas Gerber
Let H be a non semi-simple Ariki-Koike algebra. According to [18] and [14], there is a generalisation of Lusztig's a-function which induces a natural order (parametrised by a tuple…