Weyl group representations on zero weight spaces

• http://people.math.umass.edu/~jeh/pub/zero.pdf
• http://mathoverflow.net/questions/186504/irreducible-representations-of-weyl-group-of-f-4-on-zero-weight-spaces
• http://mathoverflow.net/questions/185797/weyl-group-actions-on-0-weight-spaces?lq=1