The fermionic Heisenberg group and its \(Q\)-representations

DOI10.1007/BF00398807zbMath0786.22028MaRDI QIDQ1202940

Andrzej M. Frydryszak

Publication date: 20 April 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

fermionic Heisenberg groupgeneralized Bargmann transformGrassmann harmonic analysisGrassmann- Hermite polynomialsGrassmann-Laguerre polynomials

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Other transforms and operators of Fourier type (43A32) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

The algebra of Grassmann canonical anticommutation relations and its applications to fermionic systems

Cites Work

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• On the Grassmannian special functions. I
• Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics
• The Weil representation, Maslov index and theta series
• Graded generalizations of Weyl- and Clifford algebras
• On the role of the Heisenberg group in harmonic analysis

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