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Models of the symmetric Fock algebra. (English. Russian original) Zbl 1013.81503
Math. Notes 60, No. 6, 710-713 (1996); translation from Mat. Zametki 60, No. 6, 939-942 (1996).
Let \(\Lambda\) be a \(\mathbb{Z}_2\)-graded superalgebra. For \(H\) a separable Hilbert space, the \(\Lambda\)-superspace over \(H\) is defined to be the \(\mathbb{Z}_2\)-graded \(\Lambda\)-module \(H_\Lambda= \Lambda\otimes H\). Two models of the Fock \(\Lambda\)-superspace and their properties are studied in terms of a so-called supermeasure on \(H_\Lambda\).

MSC:
81S05 Commutation relations and statistics as related to quantum mechanics (general)
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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