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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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$7$-dimensional nilpotent Lie algebras
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by Craig Seeley PDF
Trans. Amer. Math. Soc. 335 (1993), 479-496 Request permission

Abstract:

All $7$-dimensional nilpotent Lie algebras over $\mathbb {C}$ are determined by elementary methods. A multiplication table is given for each isomorphism class. Distinguishing features are given, proving that the algebras are pairwise nonisomorphic. Moduli are given for the infinite families which are indexed by the value of a complex parameter.
References
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 335 (1993), 479-496
  • MSC: Primary 17B30
  • DOI: https://doi.org/10.1090/S0002-9947-1993-1068933-4
  • MathSciNet review: 1068933