Geometric Algebra Techniques in Flux Compactifications

Table 2

Fiberwise character of for the case . At the intersection of each row and column, we indicate the values of (mod 8) for which the map induced by on each fiber of the Kähler-Atiyah algebra has the corresponding properties. In parentheses, we also indicate the isomorphism type of the Schur algebra for that value of (mod 8). Note that is fiberwise surjective exactly for the normal case, that is, when the Schur algebra is isomorphic with .

	Injective	Noninjective
Surjective	,
Nonsurjective	, , ,