Young's rule

Young's rule

 [yungz]
the dose of a drug for a child is obtained by multiplying the adult dose by the child's age in years and dividing the result by the sum of the child's age plus 12.
Miller-Keane Encyclopedia and Dictionary of Medicine, Nursing, and Allied Health, Seventh Edition. © 2003 by Saunders, an imprint of Elsevier, Inc. All rights reserved.
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The second result provides an explicit irreducible decomposition of the representation for parabolic Hessenberg varieties [Definition 4.11] via Young's rule (see [JK, Chapter 2]).
Proposition 4.3 (Young's Rule [JK]) Let [[tau].sup.[lambda]] denote the character of the trivial representation for the Young subgroup [S.sub.[lambda]].
Using Young's rule we obtain the irreducible decomposition of the ordinary cohomology for all parabolic regular semisimple Hessenberg varieties.