The Ladder Crystal
Copyright policy )The Ladder Crystal
In this paper, we introduce a new model of the crystal $B(\Lambda _0)$ of $\widehat{\mathfrak{sl}_{\ell}}$. We briefly describe some of the properties of this crystal and compare it to the combinatorial model of Misra and Miwa. Dans cet article on propose un nouveau modèle du cristal $B(\Lambda _0)$ de \$\widehat{\mathfrak{sl}_{\ell}}$. On décrit brièvement les propriétés du cristal et on le compare avec le modèle combinatoire de Misra et Miwa.
- University of California, Davis United States
- University of Toronto Canada
- University of California United States
- Fields Institute for Research in Mathematical Sciences Canada
representation theory of hecke algebras, combinatorics of Young diagrams, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Quantum groups (quantized enveloping algebras) and related deformations, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], math.RT, Hecke algebras and their representations, crystal bases, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], QA1-939, crystals, FOS: Mathematics, Mathematics - Combinatorics, operations on ladders, math.CO, Representation Theory (math.RT), combinatorics of young diagrams, [math.math-co] mathematics [math]/combinatorics [math.co], 05E10, 20C08, representation theory of Hecke algebras, crystal isomorphisms, Combinatorial aspects of representation theory, partitions, Combinatorics (math.CO), Mathematics, Mathematics - Representation Theory
representation theory of hecke algebras, combinatorics of Young diagrams, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Quantum groups (quantized enveloping algebras) and related deformations, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], math.RT, Hecke algebras and their representations, crystal bases, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], QA1-939, crystals, FOS: Mathematics, Mathematics - Combinatorics, operations on ladders, math.CO, Representation Theory (math.RT), combinatorics of young diagrams, [math.math-co] mathematics [math]/combinatorics [math.co], 05E10, 20C08, representation theory of Hecke algebras, crystal isomorphisms, Combinatorial aspects of representation theory, partitions, Combinatorics (math.CO), Mathematics, Mathematics - Representation Theory
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