Theta-Vexillary Signed Permutations
Theta-Vexillary Signed Permutations
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Theta-Vexillary 有符号排列
DOI：
10.37236/8023
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Jordan Lambert
中科院分区：
文献类型：
--
作者：
Jordan Lambert
有符号排列是高八面体群中的元素，它索引了B型和c型简并位点的某些类别。这些排列是用$s$的三元组来描述的——服从特定条件的整数元组。这项工作的目的是提出不同的特征theta-vexillary符号排列，描述他们在角在罗特图和模式回避。
Theta-vexillary signed permutations are elements in the hyperoctahedral group that index certain classes of degeneracy loci of type B and C. These permutations are described using triples of $s$-tuples of integers subject to specific conditions. The objective of this work is to present different characterizations of theta-vexillary signed permutations, describing them in terms of corners in the Rothe diagram and pattern avoidance.