A new proof of a theorem of Littlewood
نویسندگان
چکیده
In this paper we give a new combinatorial proof of a result of Littlewood [3]: Sμ(1, q, q , . . . ) = q n(μ) Q s∈μ(1−q μ) , where Sμ denotes the Schur function of the partition μ, n(μ) is the sum of the legs of the cells of μ and h(μ)(s) is the hook number of the cell s ∈ μ. Research supported in part by NSF grant DMS-0500557 Research supported in part by NSF grant DMS-0455906 1 Proposed running head: A proof of a theorem of Littlewood Proofs should be sent to Michele D’Adderio at the following address: Department of Mathematics University of California, San Diego 9500 Gilman Drive #0112 La Jolla, CA 92093-0112 United States of America (USA)
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عنوان ژورنال:
- Eur. J. Comb.
دوره 30 شماره
صفحات -
تاریخ انتشار 2009