Summary
In musical creativity, actions are very important. They always deal with two components: the agent who acts in a determined way, and the object on which this action is being performed. Of course, not just any action can be performed on any object, so one has to specify agent/action as well as domain of objects that are suitable for a determined action. In this chapter we develop the formalism of group actions and provide introductory examples.
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© 2016 Springer International Publishing Switzerland
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Mazzola, G., Mannone, M., Pang, Y. (2016). Group Actions, Subgroups, Quotients, and Products. In: Cool Math for Hot Music. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-42937-3_19
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DOI: https://doi.org/10.1007/978-3-319-42937-3_19
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42935-9
Online ISBN: 978-3-319-42937-3
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