Erratum to “Brauer algebras of simply laced type”

Springer Science and Business Media LLC - Tập 234 - Trang 499-500 - 2019
Arjeh M. Cohen1, David B. Wales2
1Faculteit Wiskunde en Informatica, Technische Universiteit Eindhoven, Eindhoven, The Netherlands
2Department of Mathematics, Linde Hall, California Institute of Technology, Pasadena, USA

Tóm tắt

Recently, Ivan Marin informed us of an error in the proof of Proposition 5.4 in the paper [2] entitled Brauer algebras of simply laced type. He also mentioned this observation in his preprint [3]. Here we give an improved argument. The result is exactly the same as for our incorrect argument and so other results using the proposition remain valid. We are grateful to Ivan Marin for pointing out the error.

Tài liệu tham khảo

A. M. Cohen, D. A. H. Gijsbers and D. B. Wales, A poset connected to Artin monoids of simply laced type, Journal of Combinatorial Theory, Series A 113 (2006), 1646–1666. A. M. Cohen, B. Frenk and D. B. Wales, Brauer algebras of simply laced type, Israel Journal of Mathematics 173 (2009), 335–365. I. Marin, Truncations and extensions of the Brauer-Chen algebra, https://arxiv.org/abs/1901.06133.