Why should the Littlewood–Richardson Rule be true? Academic Article uri icon

abstract

  • We give a proof of the Littlewood-Richardson Rule for describing tensor products of irreducible finite-dimensional representations of GL n. The core of the argument uses classical invariant theory, especially (GL n, GL m)-duality. Both of the main conditions (semistandard condition, lattice permutation/ Yamanouchi word condition) placed on the tableaux used to define Littlewood-Richardson coefficients have natural interpretations in the argument. © 2011 American Mathematical Society.

altmetric score

  • 0.5

author list (cited authors)

  • Howe, R., & Lee, S. T.

citation count

  • 14

publication date

  • May 2012