Irreducible Representations of Algebras
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1118-1129

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The concept of the universal enveloping algebra of a (not necessarily associative) algebra X is basic to the study of the representations of X, because there is a one-to-one correspondence between the representations of X and . If one is only interested in studying a certain class of the representations of X, the thought occurs that there may exist a more suitable universal object.
Goodaire, Edgar G. Irreducible Representations of Algebras. Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1118-1129. doi: 10.4153/CJM-1974-104-0
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[1] 1. Albert, A. A., A structure theory for Jordan algebras, Ann. of Math. 48 (1947), 546–567. Google Scholar

[2] 2. Foster, D. M., On Cartan subalgebras of alternative algebras, Trans. Amer. Math. Soc. 162 (1971), 225–238. Google Scholar

[3] 3. Herstein, I. N., Noncommutative rings , Cams Mathematical Monographs, Math. Assoc, of Amer. (Wiley, New York, 1968). Google Scholar

[4] 4. Jacobson, N., Lie algebras (Wiley (Interscience), New York, 1962). Google Scholar

[5] 5. Jacobson, N., Cartan subalgebras of Jordan algebras, Nagoya Math. J. 27 (1966), 591–609. Google Scholar

[6] 6. Jacobson, N., Jordan algebras, Coll. Pub. 39 (Amer. Math. Soc, Providence, R.I., 1968). Google Scholar

[7] 7. Lemire, F. W., Weight spaces and irreducible representations of simple Lie algebras, Proc. Amer. Math. Soc. 22 (1969), 192–197. Google Scholar

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