Maarten van Pruijssen

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20242026

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math.RT2026

An elementary approach to non-symmetric shift operators and their q-analogs

Max van Horssen, Maarten van Pruijssen

We give an algebraic construction of shift operators for the non-symmetric Heckman-Opdam polynomials and the non-symmetric Macdonald-Koornwinder polynomials. To each linear charact…

math.RT2025

Multiplicity free induction for the pairs $(GL_{2} \times GL_{2}, diag (GL_{2}))$ and $(SL_{3}, GL_{2})$ over finite fields

Elias Depuydt, Maarten van Pruijssen

We classify the irredible representations of $GL_{2} (q)$ for which the induction to the product group $GL_{2} (q) \times GL_{2} (q)$ , under the diagonal embe…

An elementary approach to non-symmetric shift operators and their q-analogs

Multiplicity free induction for the pairs (GL2​×GL2​,diag(GL2​)) and (SL3​,GL2​) over finite fields

Multiplicity free induction for the pairs $(GL_{2} \times GL_{2}, diag (GL_{2}))$ and $(SL_{3}, GL_{2})$ over finite fields