Zobrazeno 1 - 10
of 23
pro vyhledávání: '"McDowell, Eoghan"'
Autor:
Fayers, Matthew, McDowell, Eoghan
For a finite group, it is interesting to determine when two ordinary irreducible representations have the same $p$-modular reduction; that is, when two rows of the decomposition matrix in characteristic $p$ are equal, or equivalently when the corresp
Externí odkaz:
http://arxiv.org/abs/2403.08243
Autor:
McDowell, Eoghan
This paper investigates partitions which have neither parts nor hook lengths divisible by $p$, referred to as $p$-core $p'$-partitions. We show that the largest $p$-core $p'$-partition corresponds to the longest walk on a graph with vertices $\{0, 1,
Externí odkaz:
http://arxiv.org/abs/2207.01824
Autor:
McDowell, Eoghan
This paper identifies all pairs of ordinary irreducible characters of the alternating group which agree on conjugacy classes of elements of order not divisible by a fixed integer $l$, for $l \neq 3$. We do the same for the double covers of the symmet
Externí odkaz:
http://arxiv.org/abs/2205.06505
Autor:
McDowell, Eoghan, Wildon, Mark
Let $E$ be the natural representation of the special linear group $\mathrm{SL}_2(K)$ over an arbitrary field $K$. We use the two dual constructions of the symmetric power when $K$ has prime characteristic to construct an explicit isomorphism $\mathrm
Externí odkaz:
http://arxiv.org/abs/2105.00538
Autor:
McDowell, Eoghan
Publikováno v:
Journal of Algebra 586 (2021) pp. 865--898
This paper gives a necessary and sufficient condition for the image of the Specht module under the inverse Schur functor to be isomorphic to the dual Weyl module in characteristic 2, and gives an elementary proof that this isomorphism holds in all ca
Externí odkaz:
http://arxiv.org/abs/2101.05770
Autor:
McDowell, Eoghan
Publikováno v:
Electronic Journal of Combinatorics 30(1) (2023) P1.5
This paper proves an identity between flagged Schur polynomials, giving a duality between row flags and column flags. This identity generalises both the binomial determinant duality theorem due to Gessel and Viennot and the symmetric function duality
Externí odkaz:
http://arxiv.org/abs/2003.04957
Autor:
McDowell, Eoghan
In this paper we introduce a novel family of Markov chains on the simple representations of $\mathrm{SL}_2(\mathbb{F}_p)$ in defining characteristic, defined by tensoring with a fixed simple module and choosing an indecomposable non-projective summan
Externí odkaz:
http://arxiv.org/abs/1904.13263
Autor:
McDowell, Eoghan1 (AUTHOR) eoghan.mcdowell@oist.jp
Publikováno v:
Annals of Combinatorics. Dec2023, Vol. 27 Issue 4, p857-871. 15p.
Autor:
McDowell, Eoghan, Wildon, Mark
Publikováno v:
In Journal of Algebra 15 July 2022 602:441-483
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