Abstract
We construct the set of extended Nakajima monomials containing monomials realizing the irreducible highest weight crystals, introduced by Nakajima. We present explicit descriptions of a crystal B ∞ \mathcal {B}_{\infty } and the crystal B ( ∞ ) \mathcal {B}(\infty ) in this language for the case A n ( 1 ) A_n^{(1)} .
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