Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Nicolás Andruskiewitsch"'
Autor:
Nicolás Andruskiewitsch, Iván Angiono
Publikováno v:
Bulletin of Mathematical Sciences, Vol 7, Iss 3, Pp 353-573 (2017)
Abstract This is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf algebras with finite
Externí odkaz:
https://doaj.org/article/1d556ae84c24415c9c9e421f9a909661
Autor:
Nicolás Andruskiewitsch
Publikováno v:
Revista de Educación Matemática, Vol 13, Iss 3 (1998)
Externí odkaz:
https://doaj.org/article/bc3f302cb9234d32aa20148734938802
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 65:577-586
We complete the classification of the pointed Hopf algebras with finite Gelfand-Kirillov dimension that are liftings of the Jordan plane over a nilpotent-by-finite group, correcting the statement in [N. Andruskiewitsch, I. Angiono and I. Heckenberger
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fff6845243dca18b2b9163f329b45c32
https://doi.org/10.1017/s0013091522000207
https://doi.org/10.1017/s0013091522000207
Publikováno v:
Oberwolfach Reports. 18:361-381
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b7e17eb1abb408b97b63a1dfe0ce482
https://doi.org/10.4171/owr/2021/7
https://doi.org/10.4171/owr/2021/7
Publikováno v:
Arkiv för Matematik
Arkiv för Matematik, 2022, 60 (2), pp.213-229
Arkiv för Matematik, 2022, 60 (2), pp.213-229
International audience; We compute the simple finite-dimensional modules and the center of the Drinfeld double of the Jordan plane introduced in [AP1] assuming that the characteristic is zero.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c32efa75be84e3bc6c6a39c47ff6de6
https://hal.science/hal-03562502
https://hal.science/hal-03562502
Publikováno v:
Transactions of the American Mathematical Society, Series B. 8:296-329
We study pre-Nichols algebras of quantum linear spaces and of Cartan type with finite GK-dimension. We prove that out of a short list of exceptions involving only roots of order 2, 3, 4, 6, any such pre-Nichols algebra is a quotient of the distinguis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44d393a8b5b1ef5cc176034600fd40df
https://doi.org/10.1090/btran/66
https://doi.org/10.1090/btran/66
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
We present new examples of finite-dimensional Nichols algebra over fields of characteristic 2 starting from braided vector spaces that are not of diagonal type, admit realizations as Yetter-Drinfeld modules over finite abelian groups and are analogou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83bb39efe7d12ff1fbbe9f7c8b20dbcb
https://doi.org/10.1017/s0017089520000579
https://doi.org/10.1017/s0017089520000579
Publikováno v:
Contemporary Mathematics ISBN: 9781470464271
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa9b514c894de5d6c7272b3660d7969a
https://doi.org/10.1090/conm/771
https://doi.org/10.1090/conm/771
Publikováno v:
Tensor Categories and Hopf Algebras
Contemporary mathematics
Contemporary mathematics
It was conjectured in \texttt{\small arXiv:1606.02521} that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (generalized) root system. We prove the conjecture assuming that the rank is 2. We also show that a Nicho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c268759665aeb13f1ae01045943e86f
https://doi.org/10.1090/conm/728/14653
https://doi.org/10.1090/conm/728/14653
Publikováno v:
Representation Theory, Mathematical Physics, and Integrable Systems ISBN: 9783030781477
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81d9c8e29fd530f61eff129055eb4be6
https://doi.org/10.1007/978-3-030-78148-4_1
https://doi.org/10.1007/978-3-030-78148-4_1