由四面体架生成的余点霍普夫代数的表示
Representations of copointed Hopf algebras arising from the tetrahedron rack
摘要:
研究了仿射架$\Aff(\F_4,ω)$(又称四面体架)和2-上圈-1的Nichols代数上的余点霍普夫代数.我们研究了所谓的韦尔马模,并对所有的单模进行了分类。我们得出了这些代数是野表示型的,不是拟三角的,并分析了它们何时是球面的。
英文摘要:
We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack $\Aff(\F_4,ω)$, also known as tetrahedron rack, and the 2-cocycle -1. We investigate the so-called Verma modules and classify all the simple modules. We conclude that these algebras are of wild representation type and not quasitriangular, also we analyze when these are spherical.
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