Rank of inclusion matrices and modular representation theory
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Publication:1173839
DOI10.1007/BF02773749zbMath0745.20013OpenAlexW2090908941MaRDI QIDQ1173839
Publication date: 25 June 1992
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02773749
incidence matrixfinite fieldrank formulalattice of subspacesfinite dimensional vector spacelattice of subsetsfinite symmetric and general linear groups
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Lattices of subspaces and geometric closure systems (51D25)
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Cites Work
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- The representation theory of the symmetric groups
- Inclusion matrix of \(k\) vs. \(l\) affine subspaces and a permutation module of the general affine group
- Intersection theorems and mod \(p\) rank of inclusion matrices
- A diagonal form for the incidence matrices of \(t\)-subsets vs. \(k\)- subsets
- On incidence matrices of finite projective and affine spaces
- On the Structure oft-Designs
- Incidence Matrices of Subsets—A Rank Formula
- A Certain Class of Incidence Matrices
