Please use this identifier to cite or link to this item:
https://doi.org/10.1090/S0273-0979-2011-01358-1
| Title: | Why should the Littlewood-Richardson rule be true? | Authors: | Howe, R. Lee, S.T. |
Keywords: | (Gl n, Gl n)-duality Gl n tensor product algebra Littlewood-richardson rule Pieri rule |
Issue Date: | 2012 | Citation: | Howe, R., Lee, S.T. (2012). Why should the Littlewood-Richardson rule be true?. Bulletin of the American Mathematical Society 49 (2) : 187-236. ScholarBank@NUS Repository. https://doi.org/10.1090/S0273-0979-2011-01358-1 | 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. | Source Title: | Bulletin of the American Mathematical Society | URI: | http://scholarbank.nus.edu.sg/handle/10635/104479 | ISSN: | 02730979 | DOI: | 10.1090/S0273-0979-2011-01358-1 |
| Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.