Geometric Algebra Techniques in Flux Compactifications

Table 1

Properties of according to the mod 8 reduction of for the case . At the intersection of each row and column, we indicate the values of (mod 8) for which the modified volume form has the corresponding properties. In parentheses, we also indicate the isomorphism type of the Schur algebra for that value of (mod 8). The real Clifford algebra is nonsimple iff   , which corresponds to the upper left corner of the table. Notice that is central iff is odd.

is central	,	,
is not central	,	,