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Arithmetic embeddings of algebraic groups

✍ Scribed by M. N. Kubenskii


Publisher
Springer US
Year
1997
Tongue
English
Weight
288 KB
Volume
83
Category
Article
ISSN
1573-8795

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Algebra of Matrix Arithmetic
✍ Gautami Bhowmik; Olivier RamarΓ© πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 207 KB

We study the algebra of the arithmetic of integer matrices. A link is established between the divisor classes of matrices and lattices. The algebra of arithmetical functions of integral matrices is then shown to be isomorphic to an extension of the Hecke algebra, also called a Hall algebra in combin