Young Wall Realization of Crystal Bases for Classical Lie Algebras

Details Young Wall Realization of Crystal Bases for Classical Lie Algebras Young Wall Realization of Crystal Bases for Classical Lie Algebras

2003-09-05

arxiv.org/abs/math/0309095v1

Mathematics

Quantum Algebra

27pages

Scientific paper

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.

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