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Monodromy Group


A technically defined group characterizing a system of linear differential equations

 y_j^'=sum_(k=1)^na_(jk)(x)y_k

for j=1, ..., n, where a_(jk) are complex analytic functions of x in a given complex domain.


See also

Hilbert's 21st Problem, Riemann P-Series

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References

Iyanaga, S. and Kawada, Y. (Eds.). "Monodromy Groups." §253B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 793, 1980.

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Monodromy Group

Cite this as:

Weisstein, Eric W. "Monodromy Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MonodromyGroup.html

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