Fricke involution
Today, Fricke involution is a topic of great relevance and interest to a wide spectrum of the public. With the advancement of technology and globalization, Fricke involution has become an increasingly present topic in our lives, whether on a personal, professional or social level. Opinions on Fricke involution are varied and debated, making its study and understanding essential to understanding the world we live in. In this article, we will explore different perspectives on Fricke involution, analyzing its impact, evolution and relevance in different contexts.
In mathematics, a Fricke involution is the involution of the modular curve X0(N) given by τ → –1/Nτ. It is named after Robert Fricke. The Fricke involution also acts on other objects associated with the modular curve, such as spaces of modular forms and the Jacobian J0(N) of the modular curve. The quotient of X0(N) by the Fricke involution is a curve called X0+(N), and for N prime this has genus zero only for a finite list of primes, called supersingular primes, which are the primes that divide the order of the Monster group.
See also
References
- Iwaniec, Henryk (1997), Topics in classical automorphic forms, Graduate Studies in Mathematics, vol. 17, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0777-4, MR 1474964
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