Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Pak Igor

Hook formulas for skew shapes (extended abstract)
Alejandro H. Morales  1  , Igor Pak  1  , Greta Panova  2  
1 : University of California at Los Angeles [Los Angeles]  (UCLA)  -  Website
Los Angeles, Californie 90095 -  États-Unis
2 : University of Pennsylvania [Philadelphia]  -  Website
3451 Walnut Street, Philadelphia, PA 19104 | 215-898-5000 -  États-Unis

The celebrated hook-length formula gives a product formula for the number of standard Young tableaux of a straight shape. In 2014, Naruse announced a more general formula for the number of standard Young tableaux of skew shapes as a positive sum over excited diagrams of products of hook-lengths. We give two q-analogues of Naruse's formula for the skew Schur functions and for counting reverse plane partitions of skew shapes. We also apply our results to border strip shapes and their generalizations. 

  • Poster
Online user: 1