论文标题
超二十字体群的Spepht理想的poset
The poset of Specht ideals for hyperoctahedral groups
论文作者
论文摘要
Specht多项式从经典地实现对称组的不可约表示。这些多项式定义的理想与年轻Tableaux的组合具有牢固的联系，并已由几位作者深入研究。我们对由与高2群$ b_n $相关的SpecHT多项式定义的理想进行了类似的研究。我们在两部分中介绍了一个双向命令，该顺序描述了这些理想的包含物的份量，并研究了代数的后果对一般$ b_n $ invariant的理想和品种，这可能会导致计算简化。
Specht polynomials classically realize the irreducible representations of the symmetric group. The ideals defined by these polynomials provide a strong connection with the combinatorics of Young tableaux and have been intensively studied by several authors. We initiate similar investigations for the ideals defined by the Specht polynomials associated to the hyperoctahedral group $B_n$. We introduce a bidominance order on bipartitions which describes the poset of inclusions of these ideals and study algebraic consequences on general $B_n$-invariant ideals and varieties, which can lead to computational simplifications.
