Root lattices in number fields
We explore whether a root lattice may be similar to the lattice 𝒪 of integers of a number field K endowed with the inner product (x,y) := TraceK/ℚ(x ⋅ 𝜃(y)), where 𝜃 is an involution of K. We classify all pairs K, 𝜃 such that 𝒪 is similar to either an even root lattice or the root lattice ℤ[K:ℚ]. We...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2021-12-01
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| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.worldscientific.com/doi/epdf/10.1142/S1664360720500216 |