LLT polynomials, elementary symmetric functions and melting lollipops
From MaRDI portal
Publication:2025112
DOI10.1007/s10801-019-00929-zzbMath1464.05352arXiv1903.03998OpenAlexW3105646890MaRDI QIDQ2025112
Publication date: 11 May 2021
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.03998
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)
Related Items (7)
A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions ⋮ Plethysms of chromatic and Tutte symmetric functions ⋮ A horizontal-strip LLT polynomial is determined by its weighted graph ⋮ Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials ⋮ A Symmetric Function of Increasing Forests ⋮ LLT cumulants and graph coloring ⋮ \((\operatorname{GL}_k\times \operatorname{Sym}_n)\)-modules and Nabla of hook-indexed Schur functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chromatic quasisymmetric functions
- Multivariate diagonal coinvariant spaces for complex reflection groups
- \(k\)-Schur expansions of Catalan functions
- Brick tabloids and the connection matrices between bases of symmetric functions
- Chromatic quasisymmetric functions of directed graphs
- A combinatorial formula for the character of the diagonal coinvariants
- LLT polynomials, chromatic quasisymmetric functions and graphs with cycles
- On immanants of Jacobi-Trudi matrices and permutations with restricted position
- A symmetric function generalization of the chromatic polynomial of a graph
- Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory
- The probability of positivity in symmetric and quasisymmetric functions
- Macdonald polynomials and chromatic quasisymmetric functions
- Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
- \(e\)-positivity of vertical strip LLT polynomials
- \(P\)-partitions and \(p\)-positivity
- Power sum expansion of chromatic quasisymmetric functions
- Open questions for operators related to rectangular Catalan combinatorics
- A conjectured combinatorial formula for the Hilbert series for diagonal harmonics
- Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
- A proof of the shuffle conjecture
- Lollipop and Lariat Symmetric Functions
- A combinatorial formula for Macdonald polynomials
- Chromatic quasisymmetric functions and Hessenberg varieties
- The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture
This page was built for publication: LLT polynomials, elementary symmetric functions and melting lollipops