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Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity

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Abstract

In this article the quantized matrix algebras as in the title have been studied at a root of unity. A full classification of simple modules over such quantized matrix algebras of degree 2 along with some finite-dimensional indecomposable modules are explicitly presented.

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Acknowledgements

The authors would like to express their sincere gratitude to the National Board of Higher Mathematics, Department of Atomic Energy, Government of India for providing funding support for their research work. The authors would also like to extend their heartfelt thanks to the anonymous referee for their meticulous review of the paper and for providing insightful feedback and suggestions that helped to enhance the overall quality of the manuscript.

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Authors and Affiliations

  1. School of Mathematical Sciences, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, Howrah, 711202, West Bengal, India

    Sanu Bera & Snehashis Mukherjee

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  1. Sanu Bera
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  2. Snehashis Mukherjee
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Correspondence to Sanu Bera.

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The authors have received funding from the National Board of Higher Mathematics, Department of Atomic Energy, Government of India. The authors have no other interests to disclose.

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Presented by: Kenneth Goodearl

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Bera, S., Mukherjee, S. Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity. Algebr Represent Theor 27, 723–744 (2024). https://doi.org/10.1007/s10468-023-10235-9

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