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Algebraic Weyl system and application. (English) Zbl 0947.46056

The author considers finite-dimensional \(p\)-adic symplectic space. He defines an algebraic Weyl system for the space. The construction of the Weyl system is applied in the study of the \(p\)-adic Heisenberg group.

MSC:

46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
81Q99 General mathematical topics and methods in quantum theory
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
11S85 Other nonanalytic theory
11S99 Algebraic number theory: local fields
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References:

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