We give here a very simple combinatorial construction of the skew representations of Sn. For the case of hook shapes we give a purely combinatorial proof that our construction does give a representation. In the general case our proof is in terms of A. Young's natural units. One of the biproducts of our construction is an elementary and direct proof of the Murnaghan-Nakayama rule for the character of a general skew representation.
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics