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Immanants of unitary matrices and their submatrices

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Physical and Mathematical Aspects of Symmetries
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Abstract

Motivated by recent experiments, we discuss the connection between immanants of an arbitrary mxm unitary matrix U and group functions D of U. This connection also applies to submatrices ofU and can be expanded with modifications to cases whereU carries a representation of SU(m) that is not the defining representation. Early results on the connections to twisted immanants are also included.

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Correspondence to Dylan Spivak .

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© 2017 Springer International Publishing AG

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Spivak, D., de Guise, H. (2017). Immanants of unitary matrices and their submatrices. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_18

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