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We propose a description of cluster states in nuclei in terms ofrepresentations of unitary algebras U(n+1), where n is the number of spacedegrees of freedom. Within this framework, a variety of situations includingboth vibrational and rotational spectra, soft and rigid configurations,identical and non-identical constituents can be described. As an example, weshow how the method can be used to study alpha-clustering configurations in 12Cwith point group symmetry D(3h).Comment: 5 pages, 2 figures, Phys. Rev. C, in pres

physical review. c. nuclear physics/physical review. c, nuclear physics

Cluster states in nuclei as representations of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">U</mml:mi><mml:mo>(</mml:mo><mml:mi>ν</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:math>group

Cluster states in nuclei as representations of aU(ν+1)group