Path description of type B \(q\)-characters

DOI10.1016/j.aim.2012.06.012zbMath1323.17015arXiv1103.5873OpenAlexW1995070500MaRDI QIDQ452061

Charles A. S. Young, Evgenii E. Mukhin

Publication date: 19 September 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5873

zbMATH Keywords

representation theoryquantum affine algebrasq-characters

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (17)

The q-characters of minimal affinizations of type G₂ arising from cluster algebras ⋮ Cluster algebras and snake modules ⋮ On tensor products of a minimal affinization with an extreme Kirillov-Reshetikhin module for type \(A\) ⋮ Combinatorics of the \(q\)-characters of Hernandez-Leclerc modules ⋮ Affinization of category $\mathcal {O}$ for quantum groups ⋮ Yangian Characters and Classical $$\mathcal{W}$$ -Algebras ⋮ Representations of quantum affine algebras of type $B_N$ ⋮ Higher order Kirillov-Reshetikhin modules for \(\mathbf{U}_q(A_{n}^{(1)})\), imaginary modules and monoidal categorification ⋮ Quantum loop algebras and \(\ell\)-root operators ⋮ Path description for q -characters of fundamental modules in type C ⋮ DEMAZURE MODULES OF LEVEL TWO AND PRIME REPRESENTATIONS OF QUANTUM AFFINE ⋮ Three-vertex prime graphs and reality of trees ⋮ Quantum affine algebras, graded limits and flags ⋮ A geometric q‐character formula for snake modules ⋮ Quantum invariants for decomposition problems in type \(A\) rings of representations ⋮ On the extended T-system of type \(C_3\) ⋮ Three-term recurrence relations of minimal affinizations of type $G_2$

Uses Software

• FORM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Code optimization in FORM
• Affine structures and a tableau model for \(E_{6}\) crystals
• Cluster algebras and quantum affine algebras
• Binomial determinants, paths, and hook length formulae
• A new interpretation of Gelfand-Tsetlin bases
• Quantum affine algebras
• Standard modules of quantum affine algebras
• Minimal affinizations of representations of quantum groups: The nonsimply-laced case
• Minimal affinization of representations of quantum groups: The irregular case
• Minimal affinizations of representations of quantum groups: The rank 2 case
• Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type \(D_n\)
• On minimal affinizations of representations of quantum groups
• Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type \(C_n\)
• Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
• Beyond Kirillov-Reshetikhin modules
• On Frenkel-Mukhin algorithm for q-character of quantum affine algebras
• Paths, tableaux andq-characters of quantum affine algebras: theC_ncase
• The Kirillov-Reshetikhin conjecture and solutions of T-systems
• Restricted solid-on-solid models connected with simply laced algebras and conformal field theory
• K-theory Schubert calculus of the affine Grassmannian
• Quantum Jacobi-Trudi and Giambelli formulae for U_q(B_r⁽¹⁾) from the analytic Bethe ansatz
• Representations of Yangians with GelfandZetlin bases
• Quiver varieties and finite dimensional representations of quantum affine algebras
• Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.

This page was built for publication: Path description of type B \(q\)-characters