Pavel Turek

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20242026

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math.RT2026

New columns in decomposition matrices of symmetric groups for every block

David J. Hemmer, Pavel Turek

The central unsolved problem in the modular representation theory of symmetric groups is to find the decomposition matrices, which describe how irreducible representations in chara…

math.RT2025

Multiplicity-free induced characters of symmetric groups

Pavel Turek

Let $n$ be a non-negative integer. Combining algebraic and combinatorial techniques, we investigate for which pairs $(G, I ¨ )$ of a subgroup $G$ of the symmetric group $S_{n}$ and an i…

math.RT2025

Symmetric powers of $S^{(n - 1, 1)}$ and $D^{(n - 1, 1)}$

Pavel Turek, Jialin Wang

Let $p$ be a prime and $n \geq 2$ be a positive integer. We establish new formulae for the decompositions of the first $p - 1$ symmetric powers of the Specht module $S^{(n - 1, 1)}$ and…

New columns in decomposition matrices of symmetric groups for every block

Multiplicity-free induced characters of symmetric groups

Symmetric powers of S(n−1,1) and D(n−1,1)

Symmetric powers of $S^{(n - 1, 1)}$ and $D^{(n - 1, 1)}$