THE CRYSTAL B(infinity) AND EXTENDED NAKAJIMA MONOMIALS

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초록

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(infinity) and the crystal B(infinity) in this language for the case A(n)((1)).

키워드

Crystalextended Nakajima monomialSIMPLE LIE-ALGEBRASYOUNG TABLEAUXBASES
제목
THE CRYSTAL B(infinity) AND EXTENDED NAKAJIMA MONOMIALS
저자
Lee, Hyeonmi
DOI
10.1090/S0002-9939-09-09834-7
발행일
2009-06
유형
Article
저널명
Proceedings of the American Mathematical Society
137
6
페이지
1915 ~ 1924