Identifying exceptional (dis)agreement between groups

Exceptional Lie groups

Now, in the present book, we describe simply connected compact exceptional simple Lie groups G2, F4, E6, E7, E8, in very elementary way. The contents are given as follows. We first construct all simply connected compact exceptional Lie groups G concretely. Next, we find all involutive automorphisms σ of G, and determine the group structures of the fixed points subgroup G by σ. Note that they co...

Lie’s, Tracks, and Exceptional Groups

Symmetric Spaces of Exceptional Groups

We adress the problem of the reasons for the existence of 12 symmetric spaces with the exceptional Lie groups. The 1+2 cases for G2 and F4 respectively are easily explained from the octonionic nature of these groups. The 4+3+2 cases on the E6,7,8 series require the magic square of Freudenthal and, for the split case, an appeal to the supergravity chain in 5, 4 and 3 spacetime dimensions.

Identifying causes of disagreement between self-reports and spouse ratings of personality.

Self-reports and spouse ratings of personality traits typically show less-than-perfect agreement, but powerful moderators of agreement have not yet been identified. In Study 1, 47 married couples completed the Revised NEO Personality Inventory to describe themselves and their spouses. Extent of agreement was not consistently moderated by response sets; the age, intelligence, or education of the...

GROUP THEORY Exceptional Lie groups as invariance groups

We offer the ultimate birdtracker guide to exceptional Lie groups.