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On the Littlewood–Richardson polynomials

✍ Scribed by Harm Derksen; Jerzy Weyman


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
95 KB
Volume
255
Category
Article
ISSN
0021-8693

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✦ Synopsis


We prove the equivalence of several descriptions of generators of rings of semiinvariants of quivers, due to Domokos and Zubkov, Schofield and van den Bergh, and our earlier work. We also show that the dimensions of semi-invariants of weights nσ depend polynomially on n.


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Schubert polynomials and the Littlewood-
✍ Alain Lascoux; Marcel-Paul Schützenberger 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 648 KB

The decomposition of a product of two irreducible representations of a linear group GI(N, C) is explicitly given by the Littlewood-Richardson rule, which amounts to finding how many Young tableaux satisfy certain conditions. We obtain more general multiplicities by generating 'vexillary' permutation