Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E.

We construct Young wall models for the crystal bases of level 1 irreducible highest weight representations and Fock space representations of quantum affine algebras in types E 6 (1) , E 7 (1) and E 8 (1). In each case, Young walls consist of coloured blocks stacked inside the relevant Young wall pattern which satisfy a certain combinatorial condition. Moreover the crystal structure is described entirely in terms of adding and removing blocks. [ABSTRACT FROM AUTHOR]