Open AccessQuadratic Weyl Representations
Author(s) -
P. L. Robinson
Publication year - 1998
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195144824
Subject(s) - mathematics , quadratic equation , representation (politics) , algebra over a field , pure mathematics , quadratic form (statistics) , combinatorics , geometry , politics , political science , law
We offer a new construction for the quadratic representations of the canonical commutation relations introduced by Proksch, Reents and Summers; our construction, which is related to the metaplectic representation, automatically produces the quadratic representations in Weyl form, circumventing the use of unbounded operators.
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