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The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations of important special classes of ¿-algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded ¿-algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellensätze, induced representations, well-behaved representations and representations on rigged modules.
Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its application to quantum physics. A rich selection of material and bibliographic notes also make it a valuable reference.
The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations of important special classes of ¿-algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded ¿-algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellensätze, induced representations, well-behaved representations and representations on rigged modules.
Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its application to quantum physics. A rich selection of material and bibliographic notes also make it a valuable reference.
Provides an accessible introduction to basic results and notions of unbounded representation theory
Contains an extensive study of representations of the Weyl algebra and the commutation relation of quantum mechanics
Treats many topics in unbounded representation theory in book form for the first time
Erscheinungsjahr: | 2021 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xviii
381 S. |
ISBN-13: | 9783030463687 |
ISBN-10: | 3030463680 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Schmüdgen, Konrad |
Auflage: | 1st edition 2020 |
Hersteller: | Springer International Publishing |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 22 mm |
Von/Mit: | Konrad Schmüdgen |
Erscheinungsdatum: | 29.07.2021 |
Gewicht: | 0,604 kg |
Provides an accessible introduction to basic results and notions of unbounded representation theory
Contains an extensive study of representations of the Weyl algebra and the commutation relation of quantum mechanics
Treats many topics in unbounded representation theory in book form for the first time
Erscheinungsjahr: | 2021 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xviii
381 S. |
ISBN-13: | 9783030463687 |
ISBN-10: | 3030463680 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Schmüdgen, Konrad |
Auflage: | 1st edition 2020 |
Hersteller: | Springer International Publishing |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 22 mm |
Von/Mit: | Konrad Schmüdgen |
Erscheinungsdatum: | 29.07.2021 |
Gewicht: | 0,604 kg |