Resumen de Jacobi-Eisenstein series of degree two over Cayley numbers

Minking Eie

• We shall develop the general theory of Jacobi forms of degree two over Cayley numbers and then construct a family of Jacobi- Eisenstein series which forms the orthogonal complement of the vector space of Jacobi cusp forms of degree two over Cayley numbers. The construction is based on a group representation arising from the transformation formu1a of a set of theta series.