Matheus Brito

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20242026

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math.QA2026

Monoidal categorification from alternating snakes

Matheus Brito, Vyjayanthi Chari

In a recent paper, the authors introduced the notion of an alternating snake and a corresponding family of finite dimensional modules for the quantum affine algebra associated to $…

math.QA2025

On dominant $ℓ$ --weights and maps between Weyl modules for quantum affine $A_{n}$

Matheus Brito, Vyjayanthi Chari

We determine the set of dominant $ℓ$ --weights in the Weyl (or standard) modules for quantum affine $A_{n}$ . We then prove that the space of homomorphisms between standard modules…

math.QA2024

On the Quantum Metaplectic Howe Duality

Matheus Brito, Marcelo De Martino

We establish a quantum analogue of the classical metaplectic Howe duality involving the pair of Lie algebras $(sp_{2 n}, sl_{2})$ in the case when $n = 1$ . Our resu…

Monoidal categorification from alternating snakes

On dominant ℓ--weights and maps between Weyl modules for quantum affine An​

On the Quantum Metaplectic Howe Duality

On dominant $ℓ$ --weights and maps between Weyl modules for quantum affine $A_{n}$