Realization of Kirillov-Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials
From MaRDI portal
Publication:1745143
zbMath1390.17024arXiv1610.09224MaRDI QIDQ1745143
Emily Gunawan, Travis Scrimshaw
Publication date: 20 April 2018
Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09224
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)
Related Items (2)
Virtual crystals and Nakajima monomials ⋮ Realization of Kirillov-Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A cluster algebra approach to \(q\)-characters of Kirillov-Reshetikhin modules
- Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties
- Metaplectic forms
- New fermionic formula for unrestricted Kostka polynomials
- Modified Nakajima monomials and the crystal \(B(\infty )\)
- Monomial crystals and partition crystals
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Perfect crystals of quantum affine Lie algebras
- Twisted quantum affine algebras
- Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
- A tensor product theorem related to perfect crystals.
- Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
- A bijection between Littlewood-Richardson tableaux and rigged configurations
- A uniform model for Kirillov-Reshetikhin crystals. III: Nonsymmetric Macdonald polynomials at \(t = 0\) and Demazure characters
- Realization of Kirillov-Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials
- Cluster algebras. III: Upper bounds and double Bruhat cells.
- Algebraic approach to \(q,t\)-characters
- RSK correspondence and classically irreducible Kirillov-Reshetikhin crystals
- Combinatorial realizations of crystals via torus actions on quiver varieties
- A generalization of the alcove model and its applications
- Cluster variables on certain double Bruhat cells of type \((u,e)\) and monomial realizations of crystal bases of type A
- Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
- Crystalizing the q-analogue of universal enveloping algebras
- Cluster algebras I: Foundations
- Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
- t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8
- Kirillov-Reshetikhin Conjecture: The General Case
- Level 0 Monomial Crystals
- AFFINE CRYSTALS AND VERTEX MODELS
- Quantum Lakshmibai-Seshadri paths and root operators
- A Uniform Model for Kirillov–Reshetikhin Crystals II. Alcove Model, Path Model, and $P=X$
- A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
- Three Combinatorial Models for $$ _ $$ Crystals, with Applications to Cylindric Plane Partitions
- Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.
This page was built for publication: Realization of Kirillov-Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials
