The multiplicity of weights in nonprimitive pairs of weights
نویسنده
چکیده
For each type of classical Lie algebra, we list the dominant highest weights ζ for which (ζ;μi) is not a primitive pair and the weight space Vμi has dimension one where μi are the highest long and short roots in each case. These dimension one weight spaces lead to examples of nilmanifolds for which we cannot prove or disprove the density of closed geodesics.
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