Description of crystals for generalized Kac-Moody algebras using rigged configurations
From MaRDI portal
Publication:2632665
zbMath1411.05287MaRDI QIDQ2632665
Travis Scrimshaw, Ben Salisbury
Publication date: 15 May 2019
Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)
Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018//20-Salisbury-Scrimshaw.html
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Cites Work
- Unnamed Item
- Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras
- Rigged configurations for all symmetrizable types
- Characterization of \(\mathcal{B} (\infty)\) using marginally large tableaux and rigged configurations in the \(A_n\) case via integer sequences
- Geometric construction of crystal bases for quantum generalized Kac-Moody algebras
- Young tableaux, multisegments, and PBW bases
- Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras
- Crystals, quiver varieties, and coboundary categories for Kac-Moody algebras
- A Littelmann path model for crystals of generalized Kac-Moody algebras
- Kashiwara and Zelevinsky involutions in affine type A
- Generalized Kac-Moody algebras
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- The crystal base and Littelmann's refined Demazure character formula
- Geometric construction of crystal bases
- Rigged configurations and the \(\ast\)-involution
- Monstrous moonshine and monstrous Lie superalgebras
- The Kashiwara involution in the general Kac-Moody-Borcherds case
- A rigged configuration model for \(B(\infty)\)
- The crystal structure on the set of Mirković-Vilonen polytopes
- Crystalizing the q-analogue of universal enveloping algebras
- Polyhedral realization of the highest weight crystals for generalized Kac-Moody algebras
- Monstrous Moonshine
- Crystal bases for quantum generalized kac–moody algebras
- Mirkovic-Vilonen polytopes and Khovanov-Lauda-Rouquier algebras
- Abstract Crystals for Quantum Generalized Kac-Moody Algebras
- Polyhedral realization of crystal bases for generalized Kac-Moody algebras
This page was built for publication: Description of crystals for generalized Kac-Moody algebras using rigged configurations