X = generalizedFlagVariety(LT,d,L)
X = generalizedFlagVariety(LT,d,L,R)
Let $G$ be the Lie group corresponding to $LT_d$, and let $w = a_1w_1 + \cdots + a_dw_d$ be a nonnegative $\mathbb Z$-linear combination of fundamental weights in the root system of type $LT_d$, where $a_i$ is the number of times $i$ appears in the list $L$. (See Example: generalized flag varieties for conventions regarding classical Lie groups and their root systems). This method outputs the GKM variety representing the generalized flag variety $G/P$ embedded in the irreducible representation of $G$ with the highest weight $w$.
The following example features the Lagrangian Grassmannian $LGr(2,4)$ of 2-dimensional subspaces in $\mathbb C^4$ that are isotropic under the standard alternating form. Its MomentGraph is a complete graph on 4 vertices.
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Spin groups have not been implemented.
The object generalizedFlagVariety is a method function.
The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/GKMVarieties/Documentation_GKMVarieties.m2:824:0.