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Determinants of r-fold symmetric multilinear forms

✍ Scribed by Teruo Kanzaki; Yutaka Watanabe

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
564 KB
Volume
124
Category
Article
ISSN
0021-8693

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A determinant of symmetric forms
A determinant of symmetric forms
✍ K.V Menon πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 231 KB

It is proved that Z~(a+/3)>~A(a)+A ([3). This inequality is generalised for certain symmetric functions defined by Littlewood. Let O(a +/3) = r~(,~+m t, --~,-,+1,,, kt, k2 ..... ~)1. Then we prove that D(a+/3)~>O(a)+O(/3). Here ~.1,/t2, ~-3 ..... ~ is a partition such that ~., >k,\_ l >-.. >~.2>hl.