Matrix Groups: An Introduction to Lie Group Theory

By Andrew Baker. 2003

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Differential Geometry and Lie Groups (2020, background): “Besides classic references on Lie groups and Lie algebras, such as Chevalley [31], Knapp [68], Warner [114], Duistermaat and Kolk [43], Bröcker and tom Dieck [24], Sagle and Walde [99], Helgason [58], Serre [106, 105], Kirillov [66], Fulton and Harris [46], and Bourbaki [19], one should be aware of ”
A derivation of quantum theory from physical requirements (2010, background): “In summary, groups of transformations are compact [24].”
Clifford Algebras, Clifford Groups, and a Generalization of the Quaternions (2008, background): “and a Generalization of the Quaternions: The Pin and Spin Groups Jean Gallier Department of Computer and Information Science University of Pennsylvania Philadelphia, PA 19104, USA e-mail: jean@cis.upenn.edu November 9, 2013 2 3”
Lie groups, Lie algebras, and their representations (2015, background): “Other sources that treat the material in these notes are [1], [2], [4], [9] and [7].”
Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory (2005, methodology): “Elementary treatments of Lie algebras and Lie groups are given in [36,45,157,196,227,299,455], while an advanced treatment appears in [571].”