In this chapter, we fix the terminology concerning lattices used in this book. Moreover, we review some elementary facts and properties, augmented by more specific results and constructions which will be relevant in later chapters. Special emphasis is laid on even definite lattices (especially root lattices of ADE-type), and on the relation to the sphere packing problem.
CITATION STYLE
Schütt, M., & Shioda, T. (2019). Lattices. In Ergebnisse der Mathematik und ihrer Grenzgebiete (Vol. 70, pp. 9–37). Springer Verlag. https://doi.org/10.1007/978-981-32-9301-4_2
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