Two special cases of the Rational Shuffle Conjecture

Autor: Emily Leven

Publikováno v: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AT,..., Iss Proceedings (2014)

The Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric function side and a combinatorial side. The combinatorial side $q,t$-enumerates parking functions in the $n ×n$ lattice. The symmetric function side may be simply expressed as

Externí odkaz: https://doaj.org/article/6afb6adfc98742e19a062a3d7c1a5658

A Parking Function Setting for Nabla Images of Schur Functions

Autor: Yeonkyung Kim

Publikováno v: Kim, Yeonkyung. (2015). A Parking Function Setting for Nabla Images of Schur Functions. UC San Diego: Retrieved from: http://www.escholarship.org/uc/item/7s13f75f

Jim Haglund, Jennifer Morse, and Mike Zabrocki have published papers introducing symmetric function operators, C operator and B operator, and their combinatorial interpretations and identities. Their compositional refinement of the Shuffle Conjecture

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1a7195f05974b9437d84ab44bacf31b
http://www.escholarship.org/uc/item/7s13f75f

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