|
|||||
|
|
Young wall realization of crystal bases for classical Lie algebras |
|
| Authors: | Seok-Jin Kang Jeong-Ah Kim Hyeonmi Lee Dong-Uy Shin |
| Institution: | School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri 2 Dong, Dongdaemun-gu, Seoul 130-722, Korea ; Department of Mathematics, Seoul National University, Seoul 151-747, Korea ; School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri 2 Dong, Dongdaemun-gu, Seoul 130-722, Korea ; School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri 2 Dong, Dongdaemun-gu, Seoul 130-722, Korea |
| Abstract: | 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. |
| Keywords: | |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |