Partial groupoid representations and a relation with the Birget–Rhodes expansion
Wesley G. Lautenschlaeger
Universidade Federal do Rio Grande do Sul, Porto Alegre, BrazilThaísa Tamusiunas
Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
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Abstract
We introduce partial groupoid representations of a finite groupoid on an algebra . We also show that the partial groupoid representations of are in one-to-one correspondence with the representations of the algebra generated by the Birget–Rhodes expansion of .
Cite this article
Wesley G. Lautenschlaeger, Thaísa Tamusiunas, Partial groupoid representations and a relation with the Birget–Rhodes expansion. Port. Math. 81 (2024), no. 1/2, pp. 151–162
DOI 10.4171/PM/2121