Globally irreducible representations of finite groups and integral lattices

DOI10.1023/A:1004917606870zbMath0867.20005MaRDI QIDQ674795

Pham Hũ'u Tiêp

Publication date: 21 April 1997

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

zbMATH Keywords

sporadic groupsfinite groupsintegral latticesmaximal ordersunimodular latticesglobally irreducible representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Integral representations of finite groups (20C10) Representations of sporadic groups (20C34) Automorphism groups of lattices (11H56)

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Some generalizations of the Weil representations of the symplectic and unitary groups ⋮ Symplectic groups, symplectic spreads, codes, and unimodular lattices ⋮ Some cyclo-quaternionic lattices ⋮ Quaternion lattices and quaternion fields ⋮ Minimal characters of the finite classical groups ⋮ Pieces of eight: semiselfdual lattices and a new foundation for the theory of Conway and Mathieu groups ⋮ Symmetric squares, spherical designs, and lattice minima. Appendix: Two-designs and code minima by Christine Bachoc and Pham Huu Tiep ⋮ On integral representations for \(\text{SL}(2,q)\) ⋮ Super-moonshine for Conway's largest sporadic group ⋮ Congruences for certain theta series ⋮ Globally irreducible representations of \(\text{SL}_3(q)\) and \(\text{SU}_3(q)\) ⋮ Some aspects of finite linear groups: A survey ⋮ Finite groups over arithmetical rings and globally irreducible representations. ⋮ Symplectic group lattices

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