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Reflection Positivity on the Real Line,esentations of the symmetric semigroup .. These are unitary one-parameter groups . on a reflection positive Hilbert space . satisfying . for . and . for .. On . this leads to a semigroup . of hermitian contractions. The main result in Sect. . is that the OS transform “commutes with reduction”, where
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Book 2018of operator algebras. .For Lie groups Reflection Positivity connectsunitary representations of a symmetric Lie group with unitary representations of its Cartan dual Lie group..A typical example is the duality between the Euclidean group E(n) and the Poincare group P(n) of special relativity. It disc
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2197-1757 tions of its Cartan dual Lie group..A typical example is the duality between the Euclidean group E(n) and the Poincare group P(n) of special relativity. It disc978-3-319-94754-9978-3-319-94755-6Series ISSN 2197-1757 Series E-ISSN 2197-1765
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SpringerBriefs in Mathematical Physicshttp://image.papertrans.cn/r/image/824695.jpg
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https://doi.org/10.1007/978-3-319-94755-6symmetric Lie groups; reflection positive Hilbert space; Kubo-Martin-Schwinger condition; Euclidean gro
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Reflection Positivity978-3-319-94755-6Series ISSN 2197-1757 Series E-ISSN 2197-1765
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