scholarly journals Virtual Crystals and Nakajima Monomials

2018 ◽  
Author(s):  
Ben Salisbury ◽  
◽  
Travis Scrimshaw ◽  
Keyword(s):  
Nakajima Monomials

scholarly journals Modified Nakajima monomials and the crystal B(∞)

2007 ◽  
Vol 308 (2) ◽  
pp. 524-535 ◽  
Author(s):  
Seok-Jin Kang ◽  
Jeong-Ah Kim ◽  
Dong-Uy Shin
Keyword(s):  
Nakajima Monomials

scholarly journals Nakajima monomials, Young walls and Kashiwara embedding for Uq(An(1))

2011 ◽  
Vol 330 (1) ◽  
pp. 234-250 ◽  
Author(s):  
Jeong-Ah Kim ◽  
Dong-Uy Shin
Keyword(s):  
Nakajima Monomials ◽  
Kashiwara Embedding

scholarly journals Crystals and Nakajima monomials for quantum generalized Kac–Moody algebras

2008 ◽  
Vol 319 (9) ◽  
pp. 3732-3751 ◽  
Author(s):  
Kyeonghoon Jeong ◽  
Seok-Jin Kang ◽  
Jeong-Ah Kim ◽  
Dong-Uy Shin
Keyword(s):  
Nakajima Monomials

scholarly journals Nakajima Monomials and Crystals for Special Linear Lie Algebras

2007 ◽  
Vol 188 ◽  
pp. 31-57 ◽  
Author(s):  
Hyeonmi Lee
Keyword(s):  
Lie Algebras ◽  
Young Tableau ◽  
Special Linear ◽  
Highest Weight ◽  
Nakajima Monomials

AbstractNakajima introduced a certain set of monomials realizing the irreducible highest weight crystals B(λ). The monomial set can be extended so that it contains crystal B(∞) in addition to B(λ). We present explicit descriptions of the crystals B(∞) and B(λ) over special linear Lie algebras in the language of extended Nakajima monomials. There is a natural correspondence between the monomial description and Young tableau realization, which is another realization of crystals B(∞) and B(λ).

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