Questions tagged [involutions]

For problems related to involutions , that is functions that are their own inverses .

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Centralizer generators

This is a question posted on overflow but no reply has been received. In the algebraic group $G=\operatorname {PSO}(4,K)<\operatorname {PCGO}(4,K)$ where $K$ is an algebraically closed field of an ...
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How can I naturally derive the Legendre transform formula? Why is the term $px$ there, and not just $f(x(p))$?

A few months back I managed to find an article1 presenting the Legendre transform in a satisfactory way, in essence it being The Legendre transform $f^*$ of a (strictly) convex $C^2$ function $f$ is ...
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Involute of circle: Get point by distance

Given is an involute of a circle. The basic circle radius $a$ and a point $A$ on the involute defined by the involute angle $\phi$ and the radius of the involute $\rho$ (and thus the arc length $l$) ...
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The entries of diagonal matrix $D$ are only $1$ or $-1$ then $D=D^{-1}$

The entries of diagonal matrix $D$ are only $1$ or $-1$ then $D=D^{-1}$ My attempt: First I thought maybe determinant works but it does not because it is not certain that determinant is equal to $1$ ...
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