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The Green rings of Taft algebras

Tijdschriftbijdrage - Tijdschriftartikel

We compute the Green ring of the Taft algebra $H_n(q)$, where $n$ is a positive integer greater than 1, and $q$ is an $n$-th root of unity. It turns out that the Green ring $r(H_n(q))$ of the Taft algebra $H_n(q)$ is a commutative ring generated by two elements subject to certain relations defined recursively. Concrete examples for $n=2,3, ... , 8$ are given.
Tijdschrift: Proceedings of the American Mathematical Society
ISSN: 0002-9939
Issue: 3
Volume: 142
Pagina's: 765 - 775
Jaar van publicatie:2014
Trefwoorden:Green ring, Grothendieck ring, Taft algebra
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:1
CSS-citation score:3
Auteurs:International
Authors from:Higher Education
Toegankelijkheid:Open