On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras
We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke algebra of type A, in terms of the weight of the block.
Bergh, Petter Andreas, Turner, Will
core +1 more source
Twisted immanant and matrices with anticommuting entries
This article gives a new matrix function named "twisted immanant," which can be regarded as an analogue of the immanant. This is defined for each self-conjugate partition through a "twisted" analogue of the irreducible character of the symmetric group ...
Itoh, Minoru
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Wreath determinants for group-subgroup pairs [PDF]
The aim of the present paper is to generalize the notion of the group determinants for finite groups. For a finite group $G$ of order $kn$ and its subgroup $H$ of order $n$, one may define an $n$ by $kn$ matrix $X=(x_{hg^{-1}})_{h\in H,g\in G}$, where ...
Hamamoto, Kei +3 more
core
Multiquadratic fields generated by characters of $A_n$
For a finite group $G$, let $K(G)$ denote the field generated over $\mathbb{Q}$ by its character values. For $n>24$, G. R. Robinson and J. G. Thompson proved that $$K(A_n)=\mathbb{Q}\left (\{ \sqrt{p^*} \ : \ p\leq n \ {\text{ an odd prime with } p\neq n-
Dawsey, Madeline Locus +2 more
core
On McKay's propagation theorem for the Foulkes conjecture
We translate the main theorem in Tom McKay's paper "On plethysm conjectures of Stanley and Foulkes" (J. Alg. 319, 2008, pp. 2050-2071) to the language of weight spaces and projections onto invariant spaces of tensors, which makes its proof short and ...
Ikenmeyer, Christian
core
Assessment of water resource security in karst area of Guizhou Province, China. [PDF]
Liu L.
europepmc +1 more source
The Howe duality and the Projective Representations of Symmetric Groups
The symmetric group S_n possesses a nontrivial central extension, whose irreducible representations, different from the irreducible representations of S_n itself, coincide with the irreducible representations of a certain algebra A_n. Recently M.~Nazarov
Sergeev, Alexander
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Stanley considered suitably normalized characters of the symmetric groups on Young diagrams having a special geometric form, namely multirectangular Young diagrams.
Śniady, Piotr
core
Heterogeneous responses of systolic and diastolic left ventricular function to exercise in patients with heart failure and preserved ejection fraction. [PDF]
Kasner M +7 more
europepmc +1 more source
Isolation of membrane-associated folded chromosomes from Escherichia coli: effect of protein synthesis inhibition. [PDF]
Ryder OA, Smith DW.
europepmc +1 more source

