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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

1 vote

How to formally connect the log-Euclidean and Riemannian metrics for Symmetric Positive Defi...

It is not so simple a relationship. Linearization suggests that log-Euclidean metric should live on some sort of tangent space to the cone of SPD matrices, but both metrics live on the cone itself ins …
Conifold's user avatar
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9 votes
1 answer
526 views

Peter–Weyl decomposition of a group representation rather than group algebra

Consider a finite or compact group $G$. The Peter–Weyl decomposition is usually formulated for the group algebra $\mathbb{C}[G]\simeq\bigoplus_i \operatorname{End}(V_i)$, where $V_i$ are the spaces of …
Conifold's user avatar
  • 1,731