The space of generalized G2-theta functions

Chloé Grégoire (1)

1 IF - Institut Fourier

Let G2 be the exceptional Lie group of automorphisms of the complex Cayley algebra and C be a smooth, connected, projective curve of genus at least 2. Using the map obtained from extension of structure groups, we prove explicit links between the space of generalized G2-theta functions over C and spaces of generalized theta functions associated to the classical Lie groups SL_2 and SL_3.

Mots clés: Generalized theta functions; moduli stacks; principal bundles

Domaines: Géométrie algébrique [math.AG]

Chloé Grégoire. The space of generalized G2-theta functions. 2011. ⟨hal-00577782v2⟩