| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
08 February 2025 |
|
| | | |
|
Article overview
| |
|
On Fomin--Kirillov Algebras for Complex Reflection Groups | Robert Laugwitz
; | Date: |
1 May 2016 | Abstract: | This note is an application of classification results for finite-dimensional
Nichols algebras over groups. We apply these results to generalizations of
Fomin--Kirillov algebras to complex reflection groups. First, we focus on the
case of cyclic groups where the corresponding Nichols algebras are only
finite-dimensional up to order four, and we include results about the existence
of Weyl groupoids and finite-dimensional Nichols subalgebras for this class.
Second, recent results by Heckenberger--Vendramin [ArXiv e-prints, 1412.0857
(December 2014)] on the classification of Nichols algebras of semisimple group
type can be used to find that these algebras are infinite-dimensional for many
non-exceptional complex reflection groups in the Shephard--Todd classification. | Source: | arXiv, 1605.0227 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|