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A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux
Abstract
Lusztig's fake degree is the generating polynomial for the major index of standard Young tableaux of a given shape. Results of Springer (1974) and James & Kerber (1984) imply that, mysteriously, its evaluation at a
Mathematics Subject Classifications: 05A19, 05E10
Keywords: Border strip tableaux, descents, Murnaghan-Nakayama rule, fake degree
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