Advanced studies in pure mathematics· 2018Q3
Arrangements of Hyperplanes, Higher Braid Groups and Higher Bruhat Orders
- 106citations
- Q3SCImago
- 2018year
Short summary
This paper introduces higher braid groups and their connection to discriminantal arrangements and higher Bruhat orders, extending classical concepts to a more general framework.
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Key points
- Introduces the concept of higher braid groups as a generalization of classical braid groups.
- Establishes connections between higher braid groups, discriminantal arrangements, and higher Bruhat orders.
- Provides a theoretical framework for understanding these combinatorial structures.
AI-generated from the title and abstract; the full text is not read.
Abstract
In conclusion we would like to thank V. A. Hinich, who explained to us the notion of n-category used in section 3, and 0. V. Ogievetsky who helped us to prove the main theorem of section 2. § 1. Discriminantal arrangements and higher braid groups
The authors' abstract, as published at the source. Advanced studies in pure mathematics, 2018 · DOI ↗
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Field: Discrete Mathematics and Combinatorics
Discrete Mathematics and CombinatoricsMathematics