Details
| Original language | English |
|---|---|
| Article number | 019 |
| Number of pages | 23 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Volume | 19 |
| Issue number | 019 |
| Publication status | Published - 6 Apr 2023 |
Abstract
Keywords
- braiding, Nichols algebra, Weyl groupoid
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Geometry and Topology
- Mathematics(all)
- Mathematical Physics
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In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 19, No. 019, 019, 06.04.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Higher braidings of diagonal type
AU - Cuntz, Michael
AU - Ohrmann, Tobias
PY - 2023/4/6
Y1 - 2023/4/6
N2 - Heckenberger introduced the Weyl groupoid of a finite dimensional Nichols algebra of diagonal type. We replace the matrix of its braiding by a higher tensor and present a construction which yields further Weyl groupoids. Abelian cohomology theory gives evidence for the existence of a higher braiding associated to such a tensor.
AB - Heckenberger introduced the Weyl groupoid of a finite dimensional Nichols algebra of diagonal type. We replace the matrix of its braiding by a higher tensor and present a construction which yields further Weyl groupoids. Abelian cohomology theory gives evidence for the existence of a higher braiding associated to such a tensor.
KW - braiding
KW - Nichols algebra
KW - Weyl groupoid
UR - http://www.scopus.com/inward/record.url?scp=85158085747&partnerID=8YFLogxK
U2 - 10.3842/SIGMA.2023.019
DO - 10.3842/SIGMA.2023.019
M3 - Article
VL - 19
JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
SN - 1815-0659
IS - 019
M1 - 019
ER -