朴素李理论（英文影印版）
出版时间：2012年版
内容简介
《朴素李理论（影印版）》，本书是一部介绍李群和李代数的本科生教程，基本的微积分和线性代数知识将对理解本书十分重要。
目录
1 Geometry of complex numbers and quaternions
1.1 Rotations of the plane
1.2 Matrix representation of complex numbers
1.3 Quaternions
1.4 Consequences of multiplicative absolute value
1.5 Quaternion representation of space rotations
1.6 Discussion
2 Groups
2.1 Crash course on groups
2.2 Crash course on homomorphisms
2.3 The groups SU(2) and SO(3)
2.4 Isometries of * and reflections
2.5 Rotations of R4 and pairs of quaternions
2.6 Direct products of groups
2.7 The map from SU(2)xSU(2) to SO(4)
2.8 Discussion
3 Generalized rotation groups
3.1 Rotations as orthogonal transformations
3.2 The orthogonal and special orthogonal groups
3.3 The unitary groups
3.4 The symplectic groups
3.5 Maximal toil and centers
3.6 Maximal toil in SO(n), U(n), SU(n), Sp(n)
3.7 Centers of SO(n), U(n), SU(n), Sp(n)
3.8 Connectedness and discreteness
3.9 Discussion
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