Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C<SUP>∞</SUP>(M,G)

SUN Wei-min; CHEN Xiang-song; WANG Fan

doi:10.11804/NuclPhysRev.18.04.274

SUN Wei-min, CHEN Xiang-song, WANG Fan. Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)[J]. Nuclear Physics Review, 2001, 18(4): 274-275. DOI: 10.11804/NuclPhysRev.18.04.274

Citation:

SUN Wei-min, CHEN Xiang-song, WANG Fan. Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)[J]. Nuclear Physics Review, 2001, 18(4): 274-275. DOI: 10.11804/NuclPhysRev.18.04.274

Citation:

SUN Wei-min, CHEN Xiang-song, WANG Fan. Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)[J]. Nuclear Physics Review, 2001, 18(4): 274-275. DOI: 10.11804/NuclPhysRev.18.04.274

Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C^∞(M,G)

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In is proved that on the local gauge group C ∞ (M,G) ( M a compact manifold and G a matrix Lie group) there does not exist a finite positive invariant measure.

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Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)

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Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C^∞(M,G)