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Abstract
In this paper, we obtain a recursive dimension formula for all γ- graded Lie algebras 𝔏 = +α∈γ𝔩α with finite dimensional homogeneous sub-spaces, where T is a countable abelian semigroup satisfying a certain finiteness condition. We apply this dimension formula to several Lie algebras to obtain explicit and simple dimension formulas.
1Department of Mathematics, Indiana University, Bloomington, IN 47406.
1Department of Mathematics, Indiana University, Bloomington, IN 47406.
Notes
1Department of Mathematics, Indiana University, Bloomington, IN 47406.