Brian Hall – Lie Groups, Lie Algebras, and Representations
Libro adottato a Politecnico di Milano, a.a. 2026/2027 · 2 canali
«Brian Hall – Lie Groups, Lie Algebras, and Representations» è adottato per Group Theory dal prof. Alessio Sammartano (Engineering Physics, Mathematical Engineering – Politecnico di Milano).
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Come lo indica il docente: Brian Hall, Lie Groups, Lie Algebras, and Representations, Springer Note: Freely available version on arXiv: https://doi.org/10.48550/arXiv.math-ph/0005032
Chi lo adotta
Group Theory – Prof. Alessio Sammartano (canale unico)Engineering Physics · Laurea triennale · esame facoltativo · 5 CFU / 1º anno · 2º semestre · Mathematics and Physics for Quantum Engineering · 5 CFU
Group Theory – Prof. Alessio Sammartano (canale unico)Mathematical Engineering · Laurea triennale · esame facoltativo · 5 CFU / 1º anno · 2º semestre · Quantum Engineering · 5 CFU
Argomenti del programma: General group theory. Definition of group. Abelian groups. Examples. Symmetric groups. Subgroups. Generators. Cyclic groups. Homomorphisms. Direct product. Cayley’s theorem. Lie groups. Matrix Lie groups. The classical Lie groups. Lie group homomorphisms. Connected and compact groups. Analysis of some Lie groups of small dimension. Matrix exponential . Matrix exponential. Matrix logarithm. Lie product formula.
Argomenti del programma: General group theory. Definition of group. Abelian groups. Examples. Symmetric groups. Subgroups. Generators. Cyclic groups. Homomorphisms. Direct product. Cayley’s theorem. Lie groups. Matrix Lie groups. The classical Lie groups. Lie group homomorphisms. Connected and compact groups. Analysis of some Lie groups of small dimension. Matrix exponential . Matrix exponential. Matrix logarithm. Lie product formula.
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