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.
Type
research article
Author(s)
Date Issued
2022-06-30
Published in
Volume
2
Issue
2
Editorial or Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
July 23, 2023
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