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Eigenvalues of Coxeter transformations and the Gelfand-Kirillov dimension of the preprojective algebras. (English) Zbl 0471.15005

MSC:
15A18 Eigenvalues, singular values, and eigenvectors
16P10 Finite rings and finite-dimensional associative algebras
16Gxx Representation theory of associative rings and algebras
15B48 Positive matrices and their generalizations; cones of matrices
17B20 Simple, semisimple, reductive (super)algebras
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