The paper provides a combinatorial description of polyhedral realizations of crystal bases in type A_n by linking them to reverse Young tableaux and derives a crystal structure on Gelfand-Tsetlin patterns.
Saito,PBW basis of quantized universal enveloping algebras, Publ
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Young tableau descriptions for the polyhedral realizations of crystal bases in type $A_n$
The paper provides a combinatorial description of polyhedral realizations of crystal bases in type A_n by linking them to reverse Young tableaux and derives a crystal structure on Gelfand-Tsetlin patterns.