TOPICS
Search

Reduced Root System


A reduced root system is a root system R satisfying the additional property that, if alpha in R, then the only multiples of alpha in R are +/-alpha.


See also

Lie Algebra, Root System

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

References

Andrews, G. E. q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra. Providence, RI: Amer. Math. Soc., p. 40, 1986.Humphreys, J. E. Introduction to Lie Algebras and Representation Theory, 3rd ed. New York: Springer-Verlag, 1977.

Referenced on Wolfram|Alpha

Reduced Root System

Cite this as:

Weisstein, Eric W. "Reduced Root System." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ReducedRootSystem.html

Subject classifications