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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


The free Lie ring and Lie representations of the full linear group

Author: Angeline Brandt
Journal: Trans. Amer. Math. Soc. 56 (1944), 528-536
MSC: Primary 20.0X
MathSciNet review: 0011305
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  • [1] Dudley E. Littlewood, The Theory of Group Characters and Matrix Representations of Groups, Oxford University Press, New York, 1940. MR 0002127 (2,3a)
  • [2] F. D. Murnaghan, The theory of group representations, Baltimore, The Johns Hopkins Press, 1938.
  • [3] J. V. Uspensky and M. A. Heaslet, Elementary number theory, New York, McGraw-Hill, 1939.
  • [4] 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 (98k:01049)
  • [5] Kôiti Kondô, Table of characters of the symmetric group of degree 14, Proc. Phys.-Math. Soc. Japan (3) 22 (1940), 585–593. MR 0002129 (2,3c)
  • [6] W. Magnus, Über Beziehungen zwischen hoheren Kommutatoren, J. Reine Angew. Math. vol. 177 (1937) pp. 105-115.
  • [7] R. M. Thrall, On symmetrized Kronecker powers and the structure of the free Lie ring, Amer. J. Math. 64 (1942), 371–388. MR 0006149 (3,262d)
  • [8] R. M. Thrall, Young’s semi-normal representation of the symmetric group, Duke Math. J. 8 (1941), 611–624. MR 0005728 (3,195c)
  • [9] M. Zia-ud-Din, The characters of the symmetric group of order 11!, Proc. London Math. (2) vol. 39 ,(1935) pp. 200-204.
  • [10] -, 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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PII: S 0002-9947(1944)0011305-0
Article copyright: © Copyright 1944 American Mathematical Society

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