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
✦ LIBER ✦
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
No coin nor oath required. For personal study only.
✦ 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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