Abstract
Let B(n, IR) be the group of real upper triangular matrices of order n with unity on the main diagonal. The subgroup of matrices which have zeros in the last column above the main diagonal is isomorphic to the group B(n-1, R). This allows to define the imbedding of the groups:
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© 1991 Springer Science+Business Media Dordrecht
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Samoilenko, Y.S. (1991). Representations of the Group of Upper Triangular Matrices. In: Spectral Theory of Families of Self-Adjoint Operators. Mathematics and Its Applications, vol 57. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3806-2_8
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DOI: https://doi.org/10.1007/978-94-011-3806-2_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5693-9
Online ISBN: 978-94-011-3806-2
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