Young tableaux and crystal B(infinity) for the exceptional Lie algebra types

초록

We study the crystal base B(infinity) associated with the negative part of the quantum group for finite simple Lie algebras of types E(6), E(7), E(8), and F(4). After describing the crystal B(infinity) as a union of highest weight crystals, we give an explicit description of B(infinity) in terms of Young tableaux.

키워드