Álvaro L. Martínez

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20182026

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math.RT2024

A new modular plethystic $SL_{2} (F)$ -isomorphism $Sym^{N - 1} E \otimes ⋀^{N + 1} Sym^{d + 1} E ≅ Δ^{(2, 1^{N - 1})} Sym^{d} E$

Alvaro L. Martinez, Mark Wildon

Let $F$ be a field and let $E$ be the natural representation of $SL_{2} (F)$ . Given a vector space $V$ , let $Δ^{(2, 1^{N - 1})} V$ be the kernel of the multipli…

math.RT2018

Low-dimensional irreducible rational representations of classical algebraic groups

Álvaro L. Martínez

Let $G$ be an algebraic group of classical type of rank $l$ over an algebraically closed field $K$ of characteristic $p$ . We list and determine the dimensions of all irreducible $K…

A new modular plethystic SL2​(F)-isomorphism SymN−1E⊗⋀N+1Symd+1E≅Δ(2,1N−1)SymdE

Low-dimensional irreducible rational representations of classical algebraic groups

A new modular plethystic $SL_{2} (F)$ -isomorphism $Sym^{N - 1} E \otimes ⋀^{N + 1} Sym^{d + 1} E ≅ Δ^{(2, 1^{N - 1})} Sym^{d} E$