Young tableaux and crystal $B(\infty)$ for finite simple Lie algebras

Details Young tableaux and crystal $B(\infty)$ for finite simple Lie algebras Young tableaux and crystal $B(\infty)$ for finite simple Lie algebras

2005-07-21

arxiv.org/abs/math/0507448v1

Mathematics

Quantum Algebra

Scientific paper

We study the crystal base of the negative part of a quantum group. An
explicit realization of the crystal is given in terms of Young tableaux for
types $A_n$, $B_n$, $C_n$, $D_n$, and $G_2$. Connection between our realization
and a previous realization of Cliff is also given.

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