S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Journal Papers (저널논문_수리과학부)
Young wall realization of crystal bases for classical Lie algebras
- Kang, Seok-Jin; Kim, Jeong-Ah; Lee, Hyeonmi; Shin, Dong-Uy
- Issue Date
- American Mathematical Society
- Trans. Amer. Math. Soc. 356 (2004), 2349-2378
- In this paper, we give a new realization of crystal bases for finite dimensional
irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.