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- BY CHARLES W. CURTIS, C. W. CURTIS
- 2007

The representation theory of a group G over the field of complex numbers involves two problems: first, the construction of the irreducible representations of G; and second, the problem of expressing each suitably restricted complex valued function on G, as a linear combination (or a limit of linear combinations), of the coefficients of the irreducible… (More)

Introduction. I t is known [13] that a Lie algebra over a modular field has indecomposable representations of arbitrarily high dimensionalities. If, however, the Lie algebra and its representations are required to be restricted (see [6, Chapter 5] for definitions), this need no longer be the case. A restricted Lie algebra for which the degrees of its… (More)

- Charles W. Curtis
- The American Mathematical Monthly
- 2003

- Eldon Dyer, R C Buck, +94 authors Bodo Pareigis
- 2010

A ring primitive on the right but not on the left, 473, 1000. Berkson, A. J. The u-algebra of a restricted Lie algebra is Frobenius, 14. Bialynicki-Birula, A. On the inverse Problem of Galois theory of differential fields, 960. Bojanic, R. and Musielak, J. An inequality for functions with derivatives in an Orlicz Space, 902. Bouwsma, W. D. Zeros of… (More)

1. Introduction. We shall say that an integral domain1 R satisfies condition (M) if any two nonzero elements of R have a nonzero common right multiple. In this note it is proved that if 5 is an extension of a ring R such that S is, roughly speaking, a noncommutative polynomial ring in one variable with R as a coefficient ring, and if R has the property (M),… (More)

- Nathan Jacobson, W. L. Chow, +21 authors C. C. Chevalley
- 2007

The formal program of the Institute consisted of a seminar on simple Lie algebras and the following four series of lectures: Armand Borel, The cohomology of compact connected Lie groups and their coset spaces ; C. C. Chevalley, Cartan subalgebras and Cartan subgroups', Hidehiko Yamabe, Structure of locally compact groups ; Hans Zassenhaus, Representation… (More)

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