Young Wall Realization of Crystal Bases for Classical Lie Algebras

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.

27pages

References in corpus (1)

• Correspondence between Young walls and Young tableaux realizations of crystal bases for the classical Lie algebras