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.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-69164-0_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69163-3
Online ISBN: 978-3-319-69164-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)