Abstract
We use a weight-preserving, sign-reversing involution to find a combinatorial expansion of Ī e k e n \Delta _{e_k} e_n at q = 1 q=1 in terms of the elementary symmetric function basis. We then use a weight-preserving bijection to prove the Delta Conjecture of Haglund, Remmel, and Wilson at q = 1 q=1 . The method of proof provides a variety of structures which can compute the inner product of Ī e k e n | q = 1 \Delta _{e_k} e_n|_{q=1} with any symmetric function.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.