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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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The free Lie ring and Lie representations of the full linear group
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by Angeline Brandt PDF
Trans. Amer. Math. Soc. 56 (1944), 528-536 Request permission
References
  • Dudley E. Littlewood, The Theory of Group Characters and Matrix Representations of Groups, Oxford University Press, New York, 1940. MR 0002127
  • F. D. Murnaghan, The theory of group representations, Baltimore, The Johns Hopkins Press, 1938. J. V. Uspensky and M. A. Heaslet, Elementary number theory, New York, McGraw-Hill, 1939.
  • Hermann Weyl, The classical groups, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Their invariants and representations; Fifteenth printing; Princeton Paperbacks. MR 1488158
  • Kôiti Kondô, Table of characters of the symmetric group of degree 14, Proc. Phys.-Math. Soc. Japan (3) 22 (1940), 585–593. MR 2129
  • W. Magnus, Über Beziehungen zwischen hoheren Kommutatoren, J. Reine Angew. Math. vol. 177 (1937) pp. 105-115.
  • R. M. Thrall, On symmetrized Kronecker powers and the structure of the free Lie ring, Amer. J. Math. 64 (1942), 371–388. MR 6149, DOI 10.2307/2371691
  • R. M. Thrall, Young’s semi-normal representation of the symmetric group, Duke Math. J. 8 (1941), 611–624. MR 5728, DOI 10.1215/S0012-7094-41-00852-9
  • M. Zia-ud-Din, The characters of the symmetric group of order 11!, Proc. London Math. (2) vol. 39 ,(1935) pp. 200-204. —, The characters of the symmetric group of degrees 12 and 13, Proc. London Math.. Soc. (2) vol. 42 (1937) pp. 340-355.
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Additional Information
  • © Copyright 1944 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 56 (1944), 528-536
  • MSC: Primary 20.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1944-0011305-0
  • MathSciNet review: 0011305