Finiteness of physics and its possible consequences

DOI10.1063/1.530257zbMath0788.17006OpenAlexW2073257006MaRDI QIDQ4201669

Felix M. Lev

Publication date: 5 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530257

zbMATH Keywords

eigenvalueseigenvectorsinteractionspinless particlesde Sitter algebrafree mass operatormodular analogue of irreducible representationsquantum theory in finite space

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items

Discussion of foundation of mathematics and quantum theory ⋮ Conceptions of space-time: problems and possible solutions ⋮ Why is quantum physics based on complex numbers?

Cites Work

• Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
• Unitary representations of the (4+1) de Sitter group on unitary irreducible representation spaces of the Poincaré group: Equivalence with their realizations as induced representations
• SU(2)×SU(2) shift operators and representations of SO(5)
• Modular representations as a possible basis of finite physics
• Some group-theoretical aspects of the SO₀(1,4)-invariant theory
• Modular Representation Theory of Lie Algebras
• The cosmological constant problem
• Forms of Relativistic Dynamics
• Relativistic Particle Dynamics. II
• The Representations of Lie Algebras of Prime Characteristic

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