The recursive dimension formula for graded lie algebras and its applications |
| |
| Authors: | Kyounghee Kim Dong Uy shin |
| |
| Institution: | Department of Mathematics , Seoul National University , Seoul, 151-742, Korea |
| |
| 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. |
| |
| Keywords: | |
|
|
