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research article
Generalised Howe duality and injectivity of induction: the symplectic case
June 30, 2022
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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eScholarship UC item 79s5h3hd.pdf
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