On applying the Littlewood-Richardson rule
✍ Scribed by I. Yu. Sviridova
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 197 KB
- Volume
- 152
- Category
- Article
- ISSN
- 1573-8795
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📜 SIMILAR VOLUMES
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
We give an involution type proof of the Littlewood-Richardson rule.
## Richardson rule on multiplying Schur functions using nonintersecting paths and a characterization of Schur functions by this rule.
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.