3 papers
math.RT2025
A proof of the Naito--Sagaki conjecture via the branching rule for quantum groups
Satoshi Naito, Yujin Suzuki, Hideya Watanabe
The Naito--Sagaki conjecture asserts that the branching rule for the restriction of finite-dimensional, irreducible polynomial representations of to $Sp_{2n}(…
math.RT2025
Berele row-insertion and quantum symmetric pairs
Hideya Watanabe
The Berele row-insertion is a symplectic analogue of the Schensted row-insertion. In the present paper, we provide it with a representation theoretical interpretation via the quant…
math.RT2025
Finite-dimensional irreducible representations of twisted loop algebras of the second kind
Hideya Watanabe
Twisted loop algebras of the second kind are infinite-dimensional Lie algebras that are constructed from a semisimple Lie algebra and an automorphism on it of order at most . Th…