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- Publications
- Influence
Conjugacy classes in linear groups
- N. Burgoyne, R. Cushman
- Mathematics
- 1 February 1977
Abstract Let G belong to one of the three families of complex classical linear groups or to one of the seven families of corresponding real forms. Let L denote its Lie algebra. We give a simple and… Expand
Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
- N. Burgoyne, R. Cushman
- Mathematics
- 1974
This note gives a concise algorithm for computing a normal form for a real linear Hamiltonian differential equatin which has purely imaginary eigenvalues. This algorithm is then applied to the… Expand
Some computations involving simple Lie algebras
- N. Burgoyne, C. Williamson
- Computer Science
- SYMSAC '71
- 23 March 1971
TLDR
The Schur multipliers of the Mathieu groups
- N. Burgoyne, Paul Fong
- Mathematics
- 1 July 1966
The Mathieu groups are the finite simple groups M 11 , M 12 , M 22 , M 23 , M 24 given originally as permutation groups on respectively 11, 12, 22, 23, 24 symbols. Their definition can best be found… Expand
On a theorem of Borel and Tits for finite Chevalley groups
- N. Burgoyne, C. Williamson
- Mathematics
- 1 December 1976
On the connection of spin with statistics
- N. Burgoyne
- Physics
- 16 May 1958
SummaryThe relation between spin and statistics is proved using only the most general assumptions.RiassuntoUsufruendo solo delle ipotesi più generali si dimostra la relazione tra spin e statistica.
Maximal subgroups and automorphisms of Chevalley groups
- N. Burgoyne, R. L. Griess, R. Lyons
- Mathematics
- 1 August 1977
The decomposition of a linear mapping
- N. Burgoyne, R. Cushman
- Mathematics
- 1 December 1974
Abstract We give a practical algorithm for obtaining the unique decomposition of a linear mapping into a sum of commuting semisimple and nilpotent mappings.