Realizations of Crystals
Quantum Algebra
2007-05-23 v1
Authors:
Masaki Kashiwara
Abstract
We shall give various realizations of crystals. One of them is a monome realization introduced by Nakajima.
Cite
@article{arxiv.math/0202268,
title = {Realizations of Crystals},
author = {Masaki Kashiwara},
journal= {arXiv preprint arXiv:math/0202268},
year = {2007}
}
Comments
7 pages
Related papers
View all related →
Representation Theory · Mathematics
Monomial Relization of Crystal Bases for Special Linear Lie Algebras
Seok-Jin Kang, Jeong-Ah Kim, Dong-Uy Shin
2007-05-23
Combinatorics · Mathematics
Monomial Crystals and Partition Crystals
Peter Tingley
2010-04-22
Quantum Algebra · Mathematics
Nakajima monomials and crystals for special linear Lie algebras
Hyeonmi Lee
2007-05-23
Quantum Algebra · Mathematics
Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases
Toshiki Nakashima
2012-03-12
Combinatorics · Mathematics
Virtual Crystals and Nakajima Monomials
Ben Salisbury, Travis Scrimshaw
2018-09-27
Combinatorics · Mathematics
Combinatorial realizations of crystals via torus actions on quiver varieties
Steven V Sam, Peter Tingley
2014-02-03
Quantum Algebra · Mathematics
Decorations on Geometric Crystals and Monomial Realizations of Crystal Bases for Classical Groups
Toshiki Nakashima
2013-01-31
Representation Theory · Mathematics
Geometric and combinatorial realizations of crystal graphs
Alistair Savage
2012-02-28
Quantum Algebra · Mathematics
A conjecture on monomial realizations and polyhedral realizations for crystal bases
Yuki Kanakubo
2025-03-12
Representation Theory · Mathematics
Compression of Nakajima monomials in type A and C
Matthias Meng
2011-11-18
Quantum Algebra · Mathematics
Descriptions of the crystal $B(\infty)$ for $G_2$
Hyeonmi Lee
2007-05-23
Quantum Algebra · Mathematics
Decorated Geometric Crystals and Polyhedral Realizations of type D_n
Toshiki Nakashima
2013-08-06
Representation Theory · Mathematics
Nakajima quiver varieties, affine crystals and combinatorics of Auslander-Reiten quivers
Deniz Kus, Bea Schumann
2023-11-22
Quantum Algebra · Mathematics
Level 0 Monomial crystals
David Hernandez, Hiraku Nakajima
2007-05-23
Quantum Algebra · Mathematics
Crystal bases and monomials for $U_q(G_2)$-modules
Dong-Uy Shin
2007-05-23
Quantum Algebra · Mathematics
Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization
Manal Alshuqayr, Toshiki Nakashima
2018-08-15
Representation Theory · Mathematics
Lectures on geometric realizations of crystals
Alistair Savage
2011-04-07
Quantum Algebra · Mathematics
On Crystal Bases and Enright's Completions
Dijana Jakelic
2008-02-23
Materials Science · Physics
Crystallization: Colloidal suspense
László Gránásy, Gyula I. Tóth
2014-07-15
Quantum Algebra · Mathematics
Polyhedral Realizations of Crystal Bases for Quantum Algebras of Finite Types
Ayumu Hoshino
2009-11-11
Algebraic Geometry · Mathematics
Crystalline realizations of 1-motives
Fabrizio Andreatta, Luca Barbieri Viale
2007-05-23
Quantum Algebra · Mathematics
Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules
Toshiki Nakashima
2007-05-23
Combinatorics · Mathematics
The weight function for monomial crystals of affine type
Luke James, Ben Salisbury
2025-05-14
Quantum Algebra · Mathematics
Lecture notes on Geometric Crystals and their combinatorial analogues
Arkady Berenstein, David Kazhdan
2007-05-23
Representation Theory · Mathematics
On the Combinatorics of Crystal Graphs, II. The Crystal Commutator
Cristian Lenart
2007-06-13