# "九章讲坛"第196讲 — 杨倩倩 博士

• If Λ is generated by vectors of norm 1, then it is a standard lattice. Thus it is s-integrable for all s.

• If Λ is generated by vectors of norm 2, Witt in 1941 showed that it is the direct sum of some root lattices. As each root lattice is s-integrable for all s ≥ 2, which is proved by Conway and Sloane in 1989, this implies that Λ is s-integrable for all s ≥ 2.

In this talk, I will show that if Λ is generated by vectors of norm 3 which satisfy

certain conditions, then Λ is also s-integrable for all s ≥ 2.

2019年12月11日