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- W2950144612 abstract "For a simple complex Lie algebra $mathfrak g$ we study the space of invariants $A=left( bigwedge mathfrak g^*otimesmathfrak g^*right)^{mathfrak g}$, (which describes the isotypic component of type $mathfrak g$ in $ bigwedge mathfrak g^*$) as a module over the algebra of invariants $left(bigwedge mathfrak g^*right)^{mathfrak g}$. As main result we prove that $A$ is a free module, of rank twice the rank of $mathfrak g$, over the exterior algebra generated by all primitive invariants in $(bigwedge mathfrak g^*)^{mathfrak g}$, with the exception of the one of highest degree." @default.
- W2950144612 created "2019-06-27" @default.
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- W2950144612 date "2013-11-18" @default.
- W2950144612 modified "2023-09-27" @default.
- W2950144612 title "The adjoint representation inside the exterior algebra of a simple Lie algebra" @default.
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