On Singer's algebra and coalgebra structures
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 611-617
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
Recently W. M. Singer has introduced the notion of algebra with coproducts (and the dual notion of coalgebra with products) by somehow weakening the notion of Hopf algebra (see [6]). In this paper we consider certain algebras of invariants and show that they are, in fact, further examples of algebras with coproducts and coalgebras with products. Moreover, we discuss the close relation between such algebras and the structures considered in Singer's paper.
@article{BUMI_2006_8_9B_3_a5,
author = {Lomonaco, Luciano A.},
title = {On {Singer's} algebra and coalgebra structures},
journal = {Bollettino della Unione matematica italiana},
pages = {611--617},
publisher = {mathdoc},
volume = {Ser. 8, 9B},
number = {3},
year = {2006},
zbl = {1177.55010},
mrnumber = {2274115},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a5/}
}
Lomonaco, Luciano A. On Singer's algebra and coalgebra structures. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 611-617. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a5/