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| THE TRIANGULAR MODEL OF SEMI-SIMPLE $\[{L^*}\]$-ALGEBRA OF H-S OPERATORS |
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Citation： |
Wu Liangsen.THE TRIANGULAR MODEL OF SEMI-SIMPLE $\[{L^*}\]$-ALGEBRA OF H-S OPERATORS[J].Chinese Annals of Mathematics B,1984,5(3):305~310 |
| Page view： 671
Net amount： 648 |
Authors： |
Wu Liangsen; |
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| Abstract： |
In this paper, some properties of semi-simple $\[{L^*}\]$-algebras are considered.
At first, applying Cartan decomposition, the author constructs a family of nilpotent subalgebras in a semi-simple $\[{L^*}\]$-algebra and proves that whole algebra can be spanned by these subalgebras, their conjugations and Cartan subalgebras.
Then, the author proves that every nonzero root vector of semi-simple $\[{L^*}\]$-algebra of H-S operators is a finite rank operator and presents the triangular model of the algebra.
Finally, non-Voltera property of the algebra is shown. |
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