On rigidity of Nichols algebras

Angiono, Ivan; Kochetov, Mikhail; Mastnak, Mitja

Home
→
Saint Mary's Faculty Articles and Other Works
→
Articles
→
View Item

dc.creator	Angiono, Ivan
dc.creator	Kochetov, Mikhail
dc.creator	Mastnak, Mitja
dc.date.accessioned	2017-05-03T12:19:19Z
dc.date.available	2017-05-03T12:19:19Z
dc.date.issued	2015-12
dc.identifier.issn	0022-4049
dc.identifier.uri	http://library2.smu.ca/handle/01/26914
dc.description	Post-print	en_CA
dc.description.abstract	We study deformations of graded braided bialgebras using cohomological methods. In particular, we show that many examples of Nichols algebras, including the finite-dimensional ones arising in the Andruskiewitsch-Schneider program of classification of pointed Hopf algebras, are rigid. This result can be regarded as nonexistence of “braided Lie algebras” with nontrivial bracket.	en_CA
dc.description.provenance	Submitted by Janine Mills (janine.mills@smu.ca) on 2017-05-03T12:19:19Z No. of bitstreams: 1 Mastnak_Mitja_article_2015_a.pdf: 296231 bytes, checksum: 2066fb27d5986bede07461e10fc836eb (MD5)	en
dc.description.provenance	Made available in DSpace on 2017-05-03T12:19:19Z (GMT). No. of bitstreams: 1 Mastnak_Mitja_article_2015_a.pdf: 296231 bytes, checksum: 2066fb27d5986bede07461e10fc836eb (MD5) Previous issue date: 2015-12	en
dc.language.iso	en	en_CA
dc.publisher	Elsevier	en_CA
dc.relation.uri	http://dx.doi.org/10.1016/j.jpaa.2015.05.032
dc.rights	This work is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License.
dc.subject.lcsh	Algebra
dc.subject.lcsh	Homology theory
dc.subject.lcsh	Finite element method
dc.title	On rigidity of Nichols algebras	en_CA
dc.type	Text	en_CA
dcterms.bibliographicCitation	Journal of Pure and Applied Algebra 219(12), 5539-5559. (2015)	en_CA