A one-box-shift morphism between Specht modules
نویسندگان
چکیده
منابع مشابه
A One-box-shift Morphism between Specht Modules
We give a formula for a morphism between Specht modules over (Z/m)Sn, where n ≥ 1, and where the partition indexing the target Specht module arises from that indexing the source Specht module by a downwards shift of one box, m being the box shift length. Our morphism can be reinterpreted integrally as an extension of order m of the corresponding Specht lattices.
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Let n ≥ 1, let λ be a partition of n, let μ be a partition arising from λ by a downwards shift of two boxes situated at the bottom of a column. We give a formula for a ZSnlinear morphism of order m between the corresponding Specht modules over Z/(m), where m is the box shift length (divided by two in certain combinatorially specified cases). Reformulated, this yields an extension of the corresp...
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 2000
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-00-00085-8