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Download E-books Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics (Dover Books on Physics) PDF

Algebras of operators come up usually within the research of representations of Lie teams, either finite-dimensional and infinite-dimensional. This e-book starts with broad heritage fabric that covers definitions and terminology, operators in Hilbert house, and the imprimitivity theorem.
Advancing to concerns of the algebras of operators in Hilbert area, the center of the textual content examines domain names of representations, operators within the enveloping algebra, and spectral concept. the ultimate part explores covariant representations and connections, with a specific specialize in infinite-dimensional Lie algebras. A invaluable Appendix at the integrability of Lie algebras concludes the text.

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Read or Download Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics (Dover Books on Physics) PDF

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