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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 61, Number 2, Pages 174–182
(Mi tmf5682)
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This article is cited in 1 scientific paper (total in 1 paper)
Algebras of observables of nearly canonical physical theories. II
G. K. Tolokonnikov
Abstract:
The general problem to which this paper and earlier work [1–4]
refers is discussed. The Jaeobi identity is equivalent [5] to the
fulfillment of two identities corresponding to two one-dimensional
irreducible inequivalent representations of the symmetric group of
third order. The functional equations generated by these
identities in the algebras of functions invariant with respect to
the group of displacements are solved. Previously unknown examples
of algebras are obtained.
Received: 14.10.1983
Citation:
G. K. Tolokonnikov, “Algebras of observables of nearly canonical physical theories. II”, TMF, 61:2 (1984), 174–182; Theoret. and Math. Phys., 61:2 (1984), 1072–1077
Linking options:
https://www.mathnet.ru/eng/tmf5682 https://www.mathnet.ru/eng/tmf/v61/i2/p174
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