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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Inductive construction of homogeneous cones
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by Josef Dorfmeister PDF
Trans. Amer. Math. Soc. 252 (1979), 321-349 Request permission

Abstract:

A method is explained how to construct all homogeneous cones in a unique way out of lower dimensional ones. The infinitesimal automorphisms of such a cone and its associated left-symmetric algebras are described in terms of the lower dimensional constituents of the cone. It is characterized when a homogeneous cone is self-dual or a sum of homogeneous cones.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 252 (1979), 321-349
  • MSC: Primary 32M10; Secondary 17C35, 53C30
  • DOI: https://doi.org/10.1090/S0002-9947-1979-0534125-0
  • MathSciNet review: 534125