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Extending an Established Isomorphism between Group Rings and a Subring of the n × n Matrices
Dougherty, Steven Gildea, Joe Korban, Adrian
Dougherty, Steven
Gildea, Joe
Korban, Adrian
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Abstract
In this work, we extend an established isomorphism between group rings and a
subring of the n × n matrices. This extension allows us to construct more complex
matrices over the ring R. We present many interesting examples of complex matrices
constructed directly from our extension. We also show that some of the matrices
used in the literature before can be obtained by a direct application of our extended
isomorphism.
Citation
Dougherty, S., Gildea, J., & Korban, A. (2021). Extending an established isomorphism between group rings and a subring of the n × n matrices. International Journal of Algebra and Computation, 31(3), 471-490. https://doi.org/10.1142/S0218196721500223
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World Scientific
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International Journal of Algebra and Computation
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Article
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Electronic version of an article published as International Journal of Algebra and Computation, Volume 31, Issue 3, 2021, Pages 471-490. [https://doi.org/10.1142/S0218196721500223] © copyright World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijac
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0218-1967
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1793-6500