Zobrazeno 1 - 10
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pro vyhledávání: '"Fayers, P"'
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:
Fayers, Matthew, Putignano, Lorenzo
Let B be a weight-$3$ block of an Iwahori--Hecke algebra of type B over any field. We develop the combinatorics of B to prove that the decomposition numbers for B are all 0 or 1.
Externí odkaz:
http://arxiv.org/abs/2401.05816
Autor:
Fayers, Matthew, Morotti, Lucia
We classify globally irreducible representations of alternating groups and double covers of symmetric and alternating groups. In order to achieve this classification we also completely characterise irreducible representations of such groups which red
Externí odkaz:
http://arxiv.org/abs/2311.03894
We calculate the (super)decomposition matrix for a RoCK block of a double cover of the symmetric group with abelian defect, verifying a conjecture of the first author. To do this, we exploit a theorem of the second author and Livesey that a RoCK bloc
Externí odkaz:
http://arxiv.org/abs/2303.03304
Autor:
Fayers, Matthew, Morotti, Lucia
For any finite group $G$ and any prime $p$ one can ask which ordinary irreducible representations remain irreducible in characteristic $p$, or more generally, which representations remain homogeneous in characteristic $p$. In this paper we address th
Externí odkaz:
http://arxiv.org/abs/2208.05207
Autor:
Fayers, Matthew
We compare the canonical bases of level-$1$ quantised Fock spaces in affine types $A^{(1)}$ and $A^{(2)}$, showing how to derive the canonical basis in type $A^{(2)}_{2n}$ from the the canonical basis in type $A^{(1)}_n$ in certain weight spaces. In
Externí odkaz:
http://arxiv.org/abs/2207.01879
Autor:
Fayers, Matthew
The Mullineux map is a combinatorial function on partitions which describes the effect of tensoring a simple module for the symmetric group in characteristic $p$ with the one-dimensional sign representation. It can also be interpreted as an isomorphi
Externí odkaz:
http://arxiv.org/abs/2105.06302
Autor:
Fayers, Matthew
Suppose $s$ and $t$ are coprime positive integers, and let $\sigma$ be an $s$-core partition and $\tau$ a $t$-core partition. In this paper we consider the set $\mathcal P_{\sigma,\tau}(n)$ of partitions of $n$ with $s$-core $\sigma$ and $t$-core $\t
Externí odkaz:
http://arxiv.org/abs/2011.08643
Autor:
Fayers, Matthew
Publikováno v:
Adv. Math. 347 (2020) 107340
For any finite group G it is an interesting question to ask which ordinary irreducible representations of G remain irreducible in a given characteristic p. We answer this question for p=2 when G is the proper double cover of the alternating group. As
Externí odkaz:
http://arxiv.org/abs/2003.07713
Autor:
Fayers, Matthew
This paper addresses the decomposition number problem for spin representations of symmetric groups in odd characteristic. Our main aim is to find a combinatorial formula for decomposition numbers in blocks of defect $2$, analogous to Richards's formu
Externí odkaz:
http://arxiv.org/abs/1905.04080