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Start Over "Curved phase space" Publication Year Range More than 50 years ago
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3. The Unitary Group U(m) as the Symmetry Group of Curved Phase Space

Author

S. A. Sofroniou and Said Heskia

Subjects
Projective unitary group, Statistical and Nonlinear Physics, Symmetry group, One-dimensional symmetry group, Combinatorics, Representation of a Lie group, Unitary group, Homogeneous space, Mathematics::Differential Geometry, Mathematical Physics, Point groups in two dimensions, Special unitary group, Mathematics, Mathematical physics
Abstract

By describing U(m) as the symmetry group of a curved phase space, namely, by describing U(m) as the group of holonomy of a Hamiltonian space endowed with a Riemannian metric, it is shown that the Lie algebra of such a group is prior to any explicit Hamiltonian assumption.

Published
1971
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