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The irreducible highest weight crystal is known to appear as a connected component within the crystal graph of . Using the marginally large tableau realization of , we identify the elements belonging to this connected component, for the Lie algebra types C (n) , B (n) , and D (n+1). This gives us a tableau realization of that is different from the well known tableau realization by Kashiwara and Nakashima. In particular, our new description no longer involves half-boxes. We further present a description of through the Kashiwara embedding.J. Hong was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2012R1A1B4003379). H. Lee was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A2008392)

Crystal ℬ ( λ ) $\mathcal {B}(\lambda )$ as a Subset of the Tableau Description of ℬ ( ∞ ) $\mathcal {B}(\infty )$ for the Classical Lie Algebra Types