Tensor products are projective geometries

DOI10.1006/jabr.1996.6881zbMath0884.51006OpenAlexW1981623886MaRDI QIDQ1355597

E. A. O'Brien, Charles R. Leedham-Green

Publication date: 24 November 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6881

zbMATH Keywords

tensor representationsdecomposition of KG-modules

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Lattices of subspaces and geometric closure systems (51D25)

Related Items

Conjugacy of Subgroups of the General Linear Group ⋮ Constructive recognition of classical groups in even characteristic. ⋮ Constructive recognition of 𝑃𝑆𝐿(2,𝑞) ⋮ Constructive recognition of classical groups in odd characteristic. ⋮ Recognising tensor-induced matrix groups. ⋮ Subgroups of \(\text{GL}_n(q)\) which fix sublattices of the subspace lattice

Cites Work

• On the maximal subgroups of the finite classical groups
• Testing matrix groups for primitivity
• Computing matrix group decompositions with respect to a normal subgroup
• A Recognition Algorithm for Special Linear Groups
• A Recognition Algorithm For Classical Groups Over Finite Fields
• Recognising Tensor Products of Matrix Groups
• Endliche Gruppen I