Abstract
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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Schütt, M., Shioda, T. (2019). Lattices. In: Mordell–Weil Lattices. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 70. Springer, Singapore. https://doi.org/10.1007/978-981-32-9301-4_2
Download citation
DOI: https://doi.org/10.1007/978-981-32-9301-4_2
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9300-7
Online ISBN: 978-981-32-9301-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)