Restricted Lie Algebras of Bounded Type

نویسندگان

  • RICHARD D. POLLACK
  • Charles W. Curtis
چکیده

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 (restricted) indecomposable representations are bounded by some constant is said to be of bounded type; one for which this is not the case is said to be of unbounded type.

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تاریخ انتشار 2007