Notes for AKT-140303/0:48:28: Difference between revisions
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After the end of the recording we had a further discussion of the fact that "not all invariant tensors in ${\mathfrak g}^n$ arise from a $W_{\mathfrak g}$-like construction". See also {{Home link|People/Haviv/S3g.pdf|Haviv's note}}, where a ''symmetric'' invariant tensor in ${\mathfrak g}^3$ is described for ${\mathfrak g}=sl(n)$, $n\geq 3$. Yet it is known that every "diagrammatic" element of ${\mathfrak g}^3$ is anti-symmetric. |
After the end of the recording we had a further discussion of the fact that "not all invariant tensors in ${\mathfrak g}^{\otimes n}$ arise from a $W_{\mathfrak g}$-like construction". See also {{Home link|People/Haviv/S3g.pdf|Haviv's note}}, where a ''symmetric'' invariant tensor in ${\mathfrak g}^3$ is described for ${\mathfrak g}=sl(n)$, $n\geq 3$. Yet it is known that every "diagrammatic" element of ${\mathfrak g}^{\otimes 3}$ is anti-symmetric. |
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Revision as of 11:43, 3 March 2014
After the end of the recording we had a further discussion of the fact that "not all invariant tensors in ${\mathfrak g}^{\otimes n}$ arise from a $W_{\mathfrak g}$-like construction". See also Haviv's note, where a symmetric invariant tensor in ${\mathfrak g}^3$ is described for ${\mathfrak g}=sl(n)$, $n\geq 3$. Yet it is known that every "diagrammatic" element of ${\mathfrak g}^{\otimes 3}$ is anti-symmetric.
