Michal Szwej

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math.RT2026

A field-independent filtration of plethystic modules for $SL_{2} (F)$ that categorifies a product rule for the Cartan subalgebra of $U_{q} (sl_{2})$

Ãlvaro GutiÃ©rrez, Ãlvaro L. MartÃnez, MichaÅ Szwej +1

We lift a product rule in the Cartan subalgebra of quantum $sl_{2}$ to a filtration of the plethystic representation $I^^{(n, m)} Sym^{d} E$ of the affine group schem…

math.RT2026

Modular isomorphisms of $SL_{2} (F)$ -plethysms for Weyl modules labelled by hook partitions

Let $I^^{I^} »$ be the Weyl functor for the partition $I^»$ and let $E$ be the natural $2$ -dimensional representation of $SL_{2} (F)$ , where $F$ is an arbitrary…

A field-independent filtration of plethystic modules for SL2​(F) that categorifies a product rule for the Cartan subalgebra of Uq​(sl2​)

Modular isomorphisms of SL2​(F)-plethysms for Weyl modules labelled by hook partitions

A field-independent filtration of plethystic modules for $SL_{2} (F)$ that categorifies a product rule for the Cartan subalgebra of $U_{q} (sl_{2})$

Modular isomorphisms of $SL_{2} (F)$ -plethysms for Weyl modules labelled by hook partitions