How can I prove triviality of tangent bundle of $S^3$ using "Quaternion group"?
55810
Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.
111814
Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$
111838
Prove that a standard torus is diffeomorphic to $ \mathbb S^1\times \mathbb S^1$
52517
Construction of $\mathbb{CP}^2$ from $S^2\times S^2$
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
15088
Proof that tangent space is a vector space?
118288
Complex structure on $\mathbb S^1 \times \mathbb S^3$
77969
Question about proof for $S_4 \cong V_4 \rtimes S_3$
131519
intuition on the fundamental group of $S^1$
145000
Fundamental group of GL(n,C) is isomorphic to Z. How to learn to prove facts like this?
10699
Why are There No "Triernions" (3-dimensional analogue of complex numbers / quaternions)?
121034
Follow-up to question: Aut(G) for G = Klein 4-group is isomorphic to $S_3$
2064
Finite subgroups of orthogonal transformations in $\mathbb{R}^3$
122698
Construction of multiplicative group of complex numbers
130683
Quaternion group associativity
72548
Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$
12772
A fiber bundle over Euclidean space is trivial.