Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Projective representations and multipliers (20C25)

Cites Work

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Globally irreducible representations of finite groups and integral lattices
The computations of some Schur indices
James' regularization theorem for double covers of symmetric groups.
Character values and decomposition matrices of symmetric groups.
Shifted tableaux and the projective representations of symmetric groups
Some projective representations of \(S_n\)
Finite groups and even lattices
On the decomposition matrices of the symmetric groups. II
The representation theory of the symmetric groups
Basic spin representations of \(2\mathbb{S}_ n\) and \(2\mathbb{A}_ n\) as globally irreducible representations
The 2-blocks of the covering groups of the symmetric groups
Irreducible projective representations of the alternating group which remain irreducible in characteristic 2
The irreducible representations of the alternating group which remain irreducible in characteristic \(p\).
On the irreducible representations of the alternating group which remain irreducible in characteristic 𝑝
Decomposition matrices for spin characters of symmetric groups
Spin Modules for Symmetric Groups
Young's Orthogonal Form of Irreducible Projective Representations of the Symmetric Group
Group Representations and Lattices
Irreducible representations of the alternating group in odd characteristic
Irreducible projective representations of the symmetric group which remain irreducible in characteristic 2
The globally irreducible representations of symmetric groups
Quaternion Algebras
Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen.
On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3

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