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arXiv · 0901.1391

Reduktionssysteme zur Berechnung einer Aufl\"osung der orthogonalen freien Quantengruppen $A_o(n)$

Dr. Johannes Härtel
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Abstract

F\"ur die freien orthogonalen Quantengruppen $A_o(n)$ wird ein vollst\"a ndiges Reduktionssystem angegeben und verifiziert. F\"ur den Fall $n = 2$ wird ein endlicher Automat angegeben, der s\"amtliche der Basiselemente findet. Weiterhin wird eine Basis f\"ur die f\"ur die Kerne einer freien Aufl\"osung von $A_o(n)$ als Bimodul bewiesen. Abschlie{\ss}end wird mit der nun verifizierten Aufl\"osung die Homologie von $A_o(n)$ explizit berechnet.

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Dr. Johannes Härtel. 2009-01-10. Reduktionssysteme zur Berechnung einer Aufl\"osung der orthogonalen freien Quantengruppen $A_o(n)$. https://arxiv.org/abs/0901.1391

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