根格的非刚性度与根格的刚度
Non-rigidity degrees of root lattices and their duals
摘要：
晶格$L$的非刚性度nrd $L$是$L$所属的L型结构域的维数。我们在这里完成了所有根格的nrd的表和它们的根格;即，$D_n^*$的最难的剩余情况，和$E_7^*$的情况被确定。我们明确描述了$L$型结构域${\cal D}(D_n^*)$、$n \ge 4$ .对于$n$奇数，它是维数为$n$的非单多面体开锥。对于$n$偶数，它是一维的，即对于偶数$n$，$D_n^*$是边形式。
英文摘要：
Non-rigidity degree of a lattice $L$, nrd$L$, is dimension of the L-type domain to which $L$ belongs. We complete here the table of nrd's of all root lattices and their duals; namely, the hardest remaining case of $D_n^*$, and the case of $E_7^*$ are decided. We describe explicitly the $L$-type domain ${\cal D}(D_n^*)$, $n \ge 4$. For $n$ odd, it is a non-simplicial polyhedral open cone of dimension $n$. For $n$ even, it is one-dimensional, i.e. for even $n$, $D_n^*$ is an edge form.
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