Zobrazeno 1 - 10
of 248
pro vyhledávání: '"Andruskiewitsch, Nicolás"'
A finite-dimensional Hopf algebra is called quasi-split if it is Morita equivalent to a split abelian extension of Hopf algebras. Combining results of Schauenburg and Negron, it is shown that every quasi-split finite-dimensional Hopf algebra satisfie
Externí odkaz:
http://arxiv.org/abs/2407.05881
It is shown that the universal enveloping algebra of an infinite-dimensional simple $\mathbb Z^n$-graded Lie algebra is not Noetherian.
Comment: 14 pages. Comments are welcome
Comment: 14 pages. Comments are welcome
Externí odkaz:
http://arxiv.org/abs/2405.15235
We exhibit a PI Hopf algebra that is not a finite module over its center. We survey some ring-theoretical properties of the bosonizations of enveloping algebras of Lie superalgebras.
Externí odkaz:
http://arxiv.org/abs/2404.18641
Autor:
Andruskiewitsch, Nicolás
This is a survey on pointed Hopf algebras with finite Gelfand-Kirillov dimension and related aspects of the theory of infinite-dimensional Hopf algebras.
Comment: Comments are welcome! Version 2: references and a few details are added
Comment: Comments are welcome! Version 2: references and a few details are added
Externí odkaz:
http://arxiv.org/abs/2308.13120
We present a rich source of Hopf algebras starting from a cofinite central extension of a Noetherian Hopf algebra and a subgroup of the algebraic group of characters of the central Hopf subalgebra. The construction is transparent from a Tannakian per
Externí odkaz:
http://arxiv.org/abs/2303.14037
We consider the restricted Jordan plane in characteristic $2$, a finite-dimensional Nichols algebra quotient of the Jordan plane that was introduced by Cibils, Lauve and Witherspoon. We extend results from \texttt{arXiv:2002.02514} on the analogous o
Externí odkaz:
http://arxiv.org/abs/2303.02228
We continue the study of the Drinfeld double of the Jordan plane, denoted by $\mathcal D$ and introduced in arXiv:2002.02514. The simple finite-dimensional modules were computed in arXiv:2108.13849; it turns out that they factorize through $U(\spl_2(
Externí odkaz:
http://arxiv.org/abs/2211.01581
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 arXiv:1512.09271.
Comment: 9 pages. v2: small
Comment: 9 pages. v2: small
Externí odkaz:
http://arxiv.org/abs/2203.03350
We consider a class of Nichols algebras $\mathscr{B} (\mathfrak L_q( 1, \mathscr{G}))$ introduced in [3] which are domains and have many favorable properties like AS-regular and strongly noetherian. We classify their finite-dimensional simple modules
Externí odkaz:
http://arxiv.org/abs/2202.13957