归纳法的广义Howe对偶与内射性：辛情形
Generalised Howe dualityand injectivity of induction: the symplectic case
摘要：
我们研究辛Howe对偶使用两个新的和独立的组合方法：通过行列式公式的一方面，并通过（双）晶体的另一方面。第一种方法使我们能够建立一个广义的版本，其中权重的多重性取代分支系数。反过来，这种广义豪威对偶是用来证明内射的诱导列维分支，如前所述的最后两个作者。
英文摘要：
We study the symplectic Howe duality using two new and independent combinatorial methods: via determinantal formulae on the one hand, and via (bi)crystals on the other hand. The first approach allows us to establish a generalised version where weight multiplicities are replaced by branching coefficients. In turn, this generalised Howe duality is used to prove the injectivity of induction for Levi branchings as previously conjectured by the last two authors.
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