Cover Image

A permutation based approach to the $q$-deformation of the Dynkin Operator

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Grinberg, Darij, Vassilieva, Ekaterina A.
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 20C30, 05A05, 05A19
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The enriched $q$-monomial basis of the quasisymmetric functions
by: Grinberg, Darij, et al.
Published: (2023)

The left-to-right minima basis of the group algebra of the symmetric group (updated version)
by: Grinberg, Darij, et al.
Published: (2026)

Rook sums in the symmetric group algebra
by: Grinberg, Darij
Published: (2025)

Quasisymmetric expansion of Hall-Littlewood symmetric functions
by: Grinberg, Darij, et al.
Published: (2024)

Zeckendorf family identities generalized
by: Grinberg, Darij
Published: (2011)

The Defective Parking Space and Defective Kreweras Numbers
by: Garcia, Rebecca E., et al.
Published: (2024)

Complete non-ambiguous trees and associated permutations: new enumerative results
by: Selig, Thomas, et al.
Published: (2023)

Polynomial Expressions for Symmetric Group Characters on Cycles
by: Moshaiov, Tom, et al.
Published: (2026)

Polynomial Expressions for the Dimensions of the Representations of Symmetric Groups and Restricted Standard Young Tableaux
by: Cohen, Avichai, et al.
Published: (2024)

A remark on continued fractions for permutations and D-permutations with a weight $-1$ per cycle
by: Deb, Bishal, et al.
Published: (2023)

On vector parking functions and q-analogue
by: Yang, Wenkai
Published: (2024)

A matrix for counting paths in acyclic colored digraphs
by: Bera, Sudip
Published: (2022)

Combinatorics of $q$-Mahonian numbers of type $B$ and log-concavity
by: Kessouri, Ali, et al.
Published: (2024)

Penney's game for permutations
by: Elizalde, Sergi, et al.
Published: (2024)

The path-missing and path-free complexes of a directed graph
by: Grinberg, Darij, et al.
Published: (2021)

Fibonacci and Lucas numbers arising from two-component spanning forests of wheel graphs
by: Miezaki, Tsuyoshi, et al.
Published: (2025)

Cumulants in rectangular finite free probability and beta-deformed singular values
by: Cuenca, Cesar
Published: (2024)

Hurwitz numbers of a fixed partition (m, 1^{n-m}) via enumeration of unrooted hypermaps
by: Song, Yi
Published: (2026)

Combinatorial study of the q-Catalan triangle and its generalizations
by: Wirdane, Youssouf
Published: (2026)

On the enumeration of permutations avoiding chains of patterns
by: Zhou, Robin D. P., et al.
Published: (2024)

Vertex degrees in grid graphs associated with 213-avoiding permutations
by: Huamaní, N. B.
Published: (2026)

New equidistributions on plane trees and decompositions of $132$-avoiding permutations
by: Bai, Zi-Wei, et al.
Published: (2022)

Thron-type continued fractions (T-fractions) for some classes of increasing trees
by: Bitonti, Veronica, et al.
Published: (2024)

Refined Horton-Strahler numbers I: a discrete bijection
by: Addario-Berry, Louigi, et al.
Published: (2024)

Noncommutative Abel-like identities
by: Grinberg, Darij
Published: (2026)

Restricted Jacobi permutations
by: Henke, Alyssa G., et al.
Published: (2025)

Evaluation of two determinants involving $q$-integers
by: Sun, Zhi-Wei
Published: (2026)

A lattice structure for ancestral configurations arising from the relationship between gene trees and species trees
by: Lappo, Egor, et al.
Published: (2021)

A new bijective proof of the $q$-Pfaff--Saalschütz identity with applications to quantum groups
by: Gutiérrez, Álvaro, et al.
Published: (2025)

Continued fractions for cycle-alternating permutations
by: Deb, Bishal, et al.
Published: (2023)

Counting Colored Trees
by: Dimitrov, Stoyan, et al.
Published: (2026)

On friendship and cyclic parking functions
by: Kang, Yujia, et al.
Published: (2023)

Comparing the numbers of subforests and subgraph-degree-tuples
by: Shteiner, Sergei, et al.
Published: (2025)

Proof of the plethystic Murnaghan-Nakayama rule using Loehr's labelled abacus
by: Turek, Pavel
Published: (2023)

Garsia--Remmel $q$-rook numbers are not always unimodal
by: Lewis, Joel Brewster, et al.
Published: (2024)

Enumeration of weighted plane trees by a permutation model
by: Lu, Sicheng, et al.
Published: (2026)

Prime graphical parking functions and strongly recurrent configurations of the Abelian sandpile model
by: Selig, Thomas, et al.
Published: (2025)

Number of orbits of $k$-subsets of permutations
by: Bouthat, Ludovick, et al.
Published: (2025)

An equality for balanced digraphs
by: Grinberg, Darij, et al.
Published: (2025)

Promotion permutations and the Robinson--Schensted correspondence
by: Pfannerer, Stephan, et al.
Published: (2025)