AN EXTENSION OF REDUCTION FORMULA FOR LITTLEWOOD-RICHARDSON COEFFICIENTS
نویسندگان
چکیده
منابع مشابه
An Extension of Reduction Formula for Littlewood-richardson Coefficients
There is a well-known classical reduction formula by Griffiths and Harris for Littlewood-Richardson coefficients, which reduces one part from each partition. In this article, we consider an extension of the reduction formula reducing two parts from each partition. This extension is a special case of the factorization theorem of Littlewood-Richardson coefficients by King, Tollu, and Toumazet (th...
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Let G be a semisimple algebraic group over an algebraically-closed field of characteristic zero. In this note we show that every regular face of the Littlewood-Richardson cone of G gives rise to a reduction rule: a rule which, given a problem “on that face” of computing the multiplicity of an irreducible component in a tensor product, reduces it to a similar problem on a group G of smaller rank...
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There are two well known reduction formulae for structural constants of the cohomology ring of Grassmannians, i.e., LittlewoodRichardson coefficients. Two reduction formulae are a conjugate pair in the sense that indexing partitions of one formula are conjugate to those of the other formula. A nice bijective proof of the first reduction formula is given in the authors’ previous paper while a (c...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2010
ISSN: 0304-9914
DOI: 10.4134/jkms.2010.47.6.1197