2013/10/23 by Min Kyu Kim, Min‐Kyu Kim, Kim, Min Kyu +2
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
paper · pdf · doi:10.48550/arxiv.1310.6211
13 pages, submitted
arxiv created 2013/10/23 · openalex publication_date 2013/10/23 · arxiv updated 2013/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A previous work gave a combinatorial description of the crystal B(∞), in terms of certain simple Young tableaux referred to as the marginally large tableaux, for finite dimensional simple Lie algebras. Using this result, we present an explicit description of the crystal B(λ), in terms of the marginally large tableaux, for the G2 Lie algebra type. We also provide a new description of B(\la), in terms of Nakajima monomials, that is in natural correspondence with our tableau description.