Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Ellen Kirkman"'
Autor:
Alejandro Adem, Tom Halverson, Arun Ram, Efim Zelmanov, Sheila Sundaram, Arturo Pianzola, Ruth Charney, Ellen Kirkman, Rolf Farnsteiner, Alberto Elduque, Konstantina Christodoulopoulou, Sarah Witherspoon, Rosa Orellana, Hélène Barcelo, Daniel Nakano
Publikováno v:
Notices of the American Mathematical Society. 70:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::957245eb702234a7d0c8790574ff4a4e
https://doi.org/10.1090/noti2653
https://doi.org/10.1090/noti2653
Publikováno v:
Transformation Groups. 25:1037-1062
We prove a version of a theorem of Auslander for finite group coactions on noetherian graded down-up algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86a174a089e09bcc80f41b92b889e676
https://doi.org/10.1007/s00031-020-09565-5
https://doi.org/10.1007/s00031-020-09565-5
Autor:
Ellen Kirkman, James J. Zhang
Publikováno v:
International Mathematics Research Notices. 2021:9853-9907
We study finite-dimensional semisimple Hopf algebra actions on noetherian connected graded Artin–Schelter regular algebras and introduce definitions of the Jacobian, the reflection arrangement, and the discriminant in a noncommutative setting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84e5a4ecd64f9b01b240674714077bd7
https://doi.org/10.1093/imrn/rnz380
https://doi.org/10.1093/imrn/rnz380
Publikováno v:
Journal of Algebra. 540:234-273
We establish a version of Knorrer's Periodicity Theorem in the context of noncommutative invariant theory. Namely, let A be a left noetherian AS-regular algebra, let f be a normal and regular element of A of positive degree, and take B = A / ( f ) .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9181da2806845df4f26e11afa20b6694
https://doi.org/10.1016/j.jalgebra.2019.09.001
https://doi.org/10.1016/j.jalgebra.2019.09.001
Publikováno v:
Journal of Noncommutative Geometry. 13:87-114
We continue our study of the McKay Correspondence for grading preserving actions of semisimple Hopf algebras H on (noncommutative) Artin-Schelter regular algebras A. Here, we establish correspondences between module categories over A^H, over A\#H, an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c518b337e652b76d88298128937e9e0
https://doi.org/10.4171/jncg/305
https://doi.org/10.4171/jncg/305
Publikováno v:
Canadian Journal of Mathematics
For a finite-dimensional Hopf algebra $A$, the McKay matrix $M_V$ of an $A$-module $V$ encodes the relations for tensoring the simple $A$-modules with $V$. We prove results about the eigenvalues and the right and left (generalized) eigenvectors of $M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5278be7c480cc5705aa88072e4f79d1a
http://arxiv.org/abs/2007.05510
http://arxiv.org/abs/2007.05510
Publikováno v:
Journal of Algebra. 487:60-92
We study homological properties and rigidity of group coactions on Artin–Schelter regular algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5103e5abd43b6d6272730386585d3e9
https://doi.org/10.1016/j.jalgebra.2017.05.021
https://doi.org/10.1016/j.jalgebra.2017.05.021
We present two noncommutative algebras over a field of characteristic zero that each posses a family of actions by cyclic groups of order $2n$, represented in $n \times n$ matrices, requiring generators of degree $3n$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5ba2a5bab646e9fdc448b753ea9933c
http://arxiv.org/abs/1907.06761
http://arxiv.org/abs/1907.06761
For each nontrivial semisimple Hopf algebra $H$ of dimension sixteen over $\mathbb{C}$, the smallest dimension inner-faithful representation of $H$ acting on a quadratic AS regular algebra $A$ of dimension 2 or 3, homogeneously and preserving the gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8dd056d8eb69926b92cb6546196c266b
http://arxiv.org/abs/1907.06763
http://arxiv.org/abs/1907.06763
Autor:
Ellen Kirkman
Publikováno v:
Recent Developments in Representation Theory. :25-50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c37c74d4aa19b315ddfc7d82e4a2b8e3
https://doi.org/10.1090/conm/673/13489
https://doi.org/10.1090/conm/673/13489