Weights and covers of chamber systems

DOI10.1007/BF00150406zbMath0724.20021OpenAlexW2065078462MaRDI QIDQ2644765

Stephen D. Smith

Publication date: 1991

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00150406

zbMATH Keywords

weightssporadic groupsaffine buildingsweight vectorsweak BN-pairs

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Cites Work

• Some projective modules determined by sporadic geometries
• The modular characters of the Mathieu groups
• On decomposition of modular representations from Cohen-Macaulay geometries
• Some exceptional 2-adic buildings
• Minimal parabolic geometries for the sporadic groups
• Geometric techniques in representation theory
• A geometric condition for incidence-matrix nullvectors
• Diagrams for geometries and groups
• A bound for the dimension of \(H_ 0({\mathcal F}_ V)\) of modules \(V(\lambda_ i+\lambda_ j)\) for \(A_ l(q)\)
• Buildings of spherical type and finite BN-pairs
• Flag-transitive subgroups of Chevalley groups
• Overgroups of Sylow subgroups in sporadic groups
• Computation of 2-modular sheaves and representations forL₄(2)A₇, 3S₆, andM₂₄
• On a Theorem of H. Sawada
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