Examples of LR in a sentence
The permutation between the tableau Yw and the canonical 18This is an obvious corollary of the LR rule.19If a partition Z is lexicographically smaller than µ it implies that Zi ≥ µi fails.tableau, i.e. where the rows are filled by the numbers 1, .
Section 341 of the repealed UPZA and LR Act, provided for applicability of the provisions of the Code of Civil Procedure, to proceedings under the said Act, in similar terms.
One can check that no representations are missing and all LR coefficients are correct by ensuring that the dimensions on both sides add upµν(102) dGl(N )(µ) · dGl(N )(ν) = Σ cλ dGl(N )(λ).λ As mentioned at the beginning of this section, for our algorithm in addition to the multiplicities one also needs according permutations that span the subspace V λ.
The LR rule then states the following.µνTheorem 4 (Littlewood-Richardson rule).
Skew tableaux are denoted as follows: λ = , µ = ⇒ λ/µ = The LR rule counts skew tableaux of which the row words are reverse lattice words.Definition 5 (Lattice word).