arXiv Open Access 2024

Rack Representations and Connections with groups representations

José Gregorio Rodríguez-Nieto Olga Patricia Salazar-Díaz Ricardo Esteban Vallejos-Cifuentes Raúl Velásquez

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In this paper we study some algebraic properties of the rack structure as well as the representation theory of it, following the ideas given by M. Elhamdadi and E. M. Moutuou in \cite{Elhamdadi}. We establish a correspondence between the irreducible strong representations of a finite and connected rack with the irreducible representation of its finite enveloping group which allows to use techniques of the latter topic in the other setting.

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math.RT

Penulis (4)

José Gregorio Rodríguez-Nieto

Olga Patricia Salazar-Díaz

Ricardo Esteban Vallejos-Cifuentes

Raúl Velásquez

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Rodríguez-Nieto, J.G., Salazar-Díaz, O.P., Vallejos-Cifuentes, R.E., Velásquez, R. (2024). Rack Representations and Connections with groups representations. https://arxiv.org/abs/2408.12718

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Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓