Cover Image

The weight function for monomial crystals of affine type

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	James, Luke, Salisbury, Ben
Format:	Preprint
Published:	2017
Subjects:	Combinatorics Representation Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Combinatorial descriptions of the crystal structure on certain PBW bases (extended abstract)
by: Salisbury, Ben, et al.
Published: (2016)

Theta functions in acyclic affine type
by: Reading, Nathan, et al.
Published: (2026)

Highest weight crystals for Schur Q-functions
by: Marberg, Eric, et al.
Published: (2021)

Rogers-Ramanujan type identities at $Λ_0$ from perfect crystals of exceptional quantum affine algebras
by: Han, Shaolong
Published: (2025)

Combinatorial descriptions of the crystal structure on certain PBW bases
by: Salisbury, Ben, et al.
Published: (2016)

A conjecture on monomial realizations and polyhedral realizations for crystal bases
by: Kanakubo, Yuki
Published: (2025)

Grounded partitions of type $A_1^{(1)}$ at levels 1 and 2: bijections, affine crystal graphs, and partition identities
by: Dombos, Benedek, et al.
Published: (2025)

Polyhedral realizations for crystal bases and Young walls of classical affine types
by: Kanakubo, Yuki
Published: (2024)

Infinite friezes of affine type D
by: Baur, Karin, et al.
Published: (2024)

Cluster scattering diagrams of acyclic affine type
by: Reading, Nathan, et al.
Published: (2022)

Lusztig $q$-weight multiplicities and Kirillov-Reshetikhin crystals
by: Choi, Hyeonjae, et al.
Published: (2024)

Atomic decomposition for an affine Weyl group of type $G_2$
by: Muniz, Bárbara, et al.
Published: (2025)

A geometric model for the non-homogeneous tubes of the cluster category of affine type D
by: Favre, Amandine
Published: (2025)

Dimension vectors of $τ$-rigid modules and $f$-vectors of cluster monomials from triangulated surfaces
by: Yurikusa, Toshiya
Published: (2024)

Young tableau descriptions for the polyhedral realizations of crystal bases in type $A_n$
by: Han, Shaolong
Published: (2026)

Entropy of affine permutations and universality of affine atomic lengths
by: Chapelier-Laget, Nathan, et al.
Published: (2026)

Multiprojective Seshadri stratifications for Schubert varieties and standard monomial theory
by: Müller, Henrik
Published: (2024)

Chain-order polytopes: toric degenerations, Young tableaux and monomial bases
by: Makhlin, Igor
Published: (2022)

Demazure crystals for flagged key polynomials
by: Wen, Jiayi
Published: (2023)

Enumeration of conjugacy classes in affine groups
by: Fulman, Jason, et al.
Published: (2021)

The geometry of conjugation in affine Coxeter groups
by: Milićević, Elizabeth, et al.
Published: (2024)

Grothendieck positivity for normal square root crystals
by: Marberg, Eric, et al.
Published: (2025)

Primed decomposition tableaux and extended queer crystals
by: Marberg, Eric, et al.
Published: (2023)

Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application
by: Cuenca, Cesar, et al.
Published: (2022)

Highest weight vectors of tensors
by: Amanov, Alimzhan, et al.
Published: (2025)

Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory
by: Chirivì, Rocco, et al.
Published: (2022)

Parabolic restrictions and double deformations of weight multiplicities
by: Lecouvey, Cédric
Published: (2024)

Isotropic meta Kazhdan--Lusztig combinatorics I: Ext-quiver presentation for the Hecke category
by: Mills, Ben
Published: (2026)

A higher homological approach to the $q$-characters of representations of quantum affine algebras
by: Casbi, Élie
Published: (2026)

On maximal green sequence for quivers arising from weighted projective lines
by: Fu, Changjian, et al.
Published: (2021)

Chains of affine standard Lyndon words
by: Elkins, Corbet, et al.
Published: (2026)

Brion atoms for classical types
by: Marberg, Eric
Published: (2025)

On representations of quantum affine $\mathfrak{sl}_2$
by: Grigorev, Andrei, et al.
Published: (2025)

Cluster parking functions
by: Douvropoulos, Theo, et al.
Published: (2024)

Mutation of theta functions
by: Reading, Nathan, et al.
Published: (2026)

Gauge-string duality, monomial bases and graph determinants
by: Kemp, Garreth, et al.
Published: (2026)

Non symmetric Cauchy kernel, crystals and last passage percolation
by: Azenhas, Olga, et al.
Published: (2022)

Gröbner crystal structures
by: Price, Abigail, et al.
Published: (2025)

Young wall models for the level 1 highest weight and Fock space crystals of $U_q(E_6^{(2)})$ and $U_q(F_4^{(1)})$
by: Han, Shaolong, et al.
Published: (2024)

$(q,t)$-chromatic symmetric functions
by: Hikita, Tatsuyuki
Published: (2025)