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Dr David Towers

Senior Lecturer

David Towers

LA1 4YF

Tel: +44 1524 593944

Research Interests

General nonassociative algebras

  • Frattini subalgebra
  • Generators
  • Jordan algebras
  • Lie triple systems
  • Leibniz algebras
  • Genetic algebras
  • Bernstein algebras
  • Train algebras
  • Superalgebras

Lie algebras

  • Solvable, completely solvable, supersolvable and triangulable Lie algebras
  • Nilpotent Lie algebras
  • The subalgebra lattice of a Lie algebra
  • Modularity, upper and lower modularity, semimodularity
  • Quasi-ideals
  • Maximal subalgebras
  • A-algebras
  • Elementary Lie algebras
  • Complemented Lie algebras
  • Decomposition results
  • Conjugacy properties
  • Formation Theory

Group Theory

  • Soluble groups
  • Formation Theory
  • Subgroup lattices of groups
  • Maximal subgroups
  • Algebraic groups
  • Areas related to my interests in Lie algebras

Mathematical Education

  • The school/university interface
  • Theories of mathematical learning
  • The undergraduate curriculum



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