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Primary Representation


Let pi be a unitary representation of a group G on a separable Hilbert space, and let R(pi) be the smallest weakly closed algebra of bounded linear operators containing all pi(g) for g in G. Then pi is primary if the center of R(pi) consists of only scalar operations.


See also

Group Representation

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References

Knapp, A. W. "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43, 537-549, 1996.

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Primary Representation

Cite this as:

Weisstein, Eric W. "Primary Representation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimaryRepresentation.html

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