Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology is popular PDF and ePub book, written by Reiner Hermann: in 2016-09-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology can be Read Online from any device for your convenience.
Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology Book PDF Summary
In this monograph, the author extends S. Schwede's exact sequence interpretation of the Gerstenhaber bracket in Hochschild cohomology to certain exact and monoidal categories. Therefore the author establishes an explicit description of an isomorphism by A. Neeman and V. Retakh, which links Ext-groups with fundamental groups of categories of extensions and relies on expressing the fundamental group of a (small) category by means of the associated Quillen groupoid. As a main result, the author shows that his construction behaves well with respect to structure preserving functors between exact monoidal categories. The author uses his main result to conclude, that the graded Lie bracket in Hochschild cohomology is an invariant under Morita equivalence. For quasi-triangular bialgebras, he further determines a significant part of the Lie bracket's kernel, and thereby proves a conjecture by L. Menichi. Along the way, the author introduces n-extension closed and entirely extension closed subcategories of abelian categories, and studies some of their properties.
Detail Book of Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology PDF
- Author : Reiner Hermann:
- Release : 06 September 2016
- Publisher : American Mathematical Soc.
- ISBN : 9781470419950
- Genre : Mathematics
- Total Page : 158 pages
- Language : English
- PDF File Size : 15,6 Mb
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