Cover Image

The left-to-right minima basis of the group algebra of the symmetric group (updated version)

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Grinberg, Darij, Vassilieva, Ekaterina A.
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Rings and Algebras 05A05, 16T30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Solomon Mackey formula for graded bialgebras
by: Grinberg, Darij
Published: (2024)

An introduction to the symmetric group algebra
by: Grinberg, Darij
Published: (2025)

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

On the Terwilliger algebra of the group association scheme of the symmetric group $\operatorname {sym}(7)$
by: Herman, Allen, et al.
Published: (2024)

A permutation based approach to the $q$-deformation of the Dynkin Operator
by: Grinberg, Darij, et al.
Published: (2025)

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

On the Hopf algebra of noncommutative symmetric functions in superspace
by: Arcis, Diego, et al.
Published: (2022)

Free Novikov algebras and the Hopf algebra of decorated multi-indices
by: Zhu, Zhicheng, et al.
Published: (2024)

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

Matrix symmetric and quasi-symmetric functions and noncommutative representation theory
by: Foissy, Loïc, et al.
Published: (2025)

Monomial identities in the Weyl algebra
by: Grinberg, Darij, et al.
Published: (2024)

The pre-Pieri rules
by: Grinberg, Darij
Published: (2021)

Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings
by: Zhu, Zhicheng, et al.
Published: (2026)

Relative (pre-)anti-flexible algebras and associated algebraic structures
by: Dassoundo, Mafoya Landry
Published: (2020)

The V/L recursion for Macdonald's 7th Variation Schur polynomials
by: Grinberg, Darij
Published: (2026)

Generalized Connes-Kreimer Hopf algebras on decorated rooted forests by weighted cocycles
by: Wang, Fei, et al.
Published: (2025)

Compositions of $n$-homomorphisms
by: Grinberg, Darij
Published: (2026)

On Terwilliger $\mathbb{F}$-algebras of factorial association schemes
by: Jiang, Yu
Published: (2024)

Fundamental and homogeneous bases of Hopf algebras built from nonsymmetric operads
by: Giraudo, Samuele
Published: (2025)

Polynomial realizations of Hopf algebras built from nonsymmetric operads
by: Giraudo, Samuele
Published: (2024)

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

Structure of Terwilliger algebras of quasi-thin association schemes
by: Chen, Zhenxian, et al.
Published: (2024)

Coherent configurations and Frobenius structures
by: Jenča, Gejza, et al.
Published: (2025)

Conditionally monotone cumulants via shuffle algebra
by: Celestino, Adrian, et al.
Published: (2023)

Combinatorial Hopf algebras from restriction species with preorder cuts
by: Fløystad, Gunnar
Published: (2023)

Chromatic quasisymmetric functions and noncommutative $P$-symmetric functions
by: Hwang, Byung-Hak
Published: (2022)

Prescribed duality dynamics in comodule categories
by: Chirvasitu, Alexandru
Published: (2024)

A co-preLie structure from chronological loop erasure in graph walks
by: Foissy, Loïc, et al.
Published: (2023)

Almost Commutative Terwilliger Algebras II: Strong Gelfand Pairs
by: Bastian, Nicholas L., et al.
Published: (2025)

A Hopf algebra on nonplanar binary forests
by: Xiao, Elizabeth
Published: (2026)

Multi-quasisymmetric functions with semigroup exponents, Hopf algebras and Rota-Baxter algebras
by: Gao, Xing, et al.
Published: (2024)

The Terwilliger algebras of doubly regular tournaments
by: Herman, Allen
Published: (2024)

Algebra, group, and Hopf Rota-Baxter operators
by: Bardakov, Valeriy G., et al.
Published: (2024)

An algebraic approach to asymptotics of the number of unlabelled bicolored graphs
by: Salch, A.
Published: (2024)

Cellular subalgebras of the partition algebra
by: Scrimshaw, Travis
Published: (2022)

The one-sided cycle shuffles in the symmetric group algebra
by: Grinberg, Darij, et al.
Published: (2022)

A Hopf algebra generalization of the symmetric functions in partially commutative variables
by: Daugherty, Spencer
Published: (2024)

The $q$-deformed random-to-random family in the Hecke algebra
by: Brauner, Sarah, et al.
Published: (2025)

Fertility fibres and coproduct coefficients in the LOT Hopf algebra
by: Zhu, Zhicheng, et al.
Published: (2026)

The Ext-algebra for infinitesimal deformations
by: Redondo, María Julia, et al.
Published: (2022)