(Heisenberg-)Weyl Algebras, Segal-Bargmann Transform and Representations of Poincaré Groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00331494" target="_blank" >RIV/68407700:21340/19:00331494 - isvavai.cz</a>
Result on the web
<a href="http://hdl.handle.net/10467/82107" target="_blank" >http://hdl.handle.net/10467/82107</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/1194/1/012043" target="_blank" >10.1088/1742-6596/1194/1/012043</a>
Alternative languages
Result language
angličtina
Original language name
(Heisenberg-)Weyl Algebras, Segal-Bargmann Transform and Representations of Poincaré Groups
Original language description
In a recent paper (Havlíček M, Kotrbatý J, Moylan P and Pošta S 2018 J. Math. Phys. 59 2 021702 1-23) we described a novel treatment of the unitary irreducible representations of the Poincaré groups in 2, 3 and 4 space-time dimensions as unitary operators on the representation spaces of the Schrödinger representation of the Heisenberg-Weyl algebra W(r,R) of index r = 1, 2, and 3, respectively. Here we relate this approach to the usual method of describing the representations of these Poincaré groups, i.e. the Wigner-Mackey construction.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Journal of Physics: Conference Series
ISBN
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ISSN
1742-6596
e-ISSN
1742-6596
Number of pages
10
Pages from-to
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Publisher name
IOP Publishing Ltd.
Place of publication
Bristol
Event location
Prague
Event date
Jul 9, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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