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Degree of matrix relation algebras

✍ Scribed by M. El Bachraoui; M. Van de Vel


Publisher
Springer
Year
2002
Tongue
English
Weight
191 KB
Volume
48
Category
Article
ISSN
0002-5240

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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