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- Title
Generalized Young Walls for Classical Lie Algebras.
- Authors
Kim, Jeong-Ah; Shin, Dong-Uy
- Abstract
In this paper, we introduce an new combinatorial model, which we call generalized Young walls for classical Lie algebras, and we give two realizations of the crystal B(∞) over classical Lie algebras using generalized Young walls. Also, we construct natural crystal isomorphisms between generalized Young wall realizations and other realizations, for example, monomial realization, polyhedral realization and tableau realization. Moreover, as applications, we obtain a crystal isomorphism between two different polyhedral realizations of B(∞).
- Publication
Algebras & Representation Theory, 2019, Vol 22, Issue 2, p345
- ISSN
1386-923X
- Publication type
Article
- DOI
10.1007/s10468-018-9770-z