Determinantal method and the Littlewood-Richardson rule
✍ Scribed by Takeshi Tokuyama
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 876 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
Let T be an operator of class C 0 and M be an invariant subspace for T. We find a relationship that must hold for the Jordan models of T, T | M and T \* | M = . This relationship reduces to a theorem of Green when T is algebraic, and it involves a continuous extension of Littlewood Richardson sequen
Let G be either Sp V or O V . Using an action of the Brauer algebra, we k Ž mm . mm describe the subspace T V :V of tensors of valence k as an induced representation of the symmetric group S . As an application, we recover a special m case of Littlewood's restriction rule, affording the decompositio
A rlosed formula for the rule of LITTLEW~OD/RICHARDSOX is given. By specialization closed formulas are gotten for the decomposition of representations of gZ( V) and pZ( V) resp. where V is a vector space (graduate vector space) over 6. Math. Nadir. 161 (1991) We order to this partion a YOUNG frame