Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Julia Pevtsova"'
Autor:
Cris Negron, Julia Pevtsova
Publikováno v:
International Mathematics Research Notices. 2023:1882-1958
We consider finite-dimensional Hopf algebras $u$ which admit a smooth deformation $U\to u$ by a Noetherian Hopf algebra $U$ of finite global dimension. Examples of such Hopf algebras include small quantum groups over the complex numbers, restricted e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::919c09979a2290410d9bfdf0d7a1a7c2
https://doi.org/10.1093/imrn/rnab264
https://doi.org/10.1093/imrn/rnab264
Autor:
Julia Pevtsova, Dave Benson
Publikováno v:
Journal of Algebra. 561:84-110
We examine the cohomology and representation theory of a family of finite supergroup schemes of the form $(\mathbb G_a^-\times \mathbb G_a^-)\rtimes (\mathbb G_{a(r)}\times (\mathbb Z/p)^s)$. In particular, we show that a certain relation holds in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::700bc4fe06ff564c5a128dabc3fd179d
https://doi.org/10.1016/j.jalgebra.2020.02.002
https://doi.org/10.1016/j.jalgebra.2020.02.002
Publikováno v:
Selecta Mathematica. 27
This work concerns the representation theory and cohomology of a finite unipotent supergroup scheme $G$ over a perfect field $k$ of positive characteristic $p\ge 3$. It is proved that an element $x$ in the cohomology of $G$ is nilpotent if and only i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::219bc421b8e46d29c56a66c133afd86f
https://doi.org/10.1007/s00029-021-00632-7
https://doi.org/10.1007/s00029-021-00632-7
We develop a support theory for elementary supergroup schemes, over a field of positive characteristic $p\ge 3$, starting with a definition of a $��$-point generalising cyclic shifted subgroups of Carlson for elementary abelian groups and $��
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f52ecf53bde124eed5b590e4b6bde340
Math Hour Olympiads is a non-standard method of training middle- and high-school students interested in mathematics where students spend several hours thinking about a few difficult and unusual problems. When a student solves a problem, the solution
Publikováno v:
RECERCAT (Dipòsit de la Recerca de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
We introduce the notion of $\pi$-cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give a new proof of the classification of tensor ideal localising subcategories. In a sequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dcc45ef2c98cf0e461083f994b94d34
https://doi.org/10.1007/s00209-017-1853-8
https://doi.org/10.1007/s00209-017-1853-8
A duality theorem for the singularity category of a finite dimensional Gorenstein algebra is proved. It complements a duality on the category of perfect complexes, discovered by Happel. One of its consequences is an analogue of Serre duality, and the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b445e57ca81956cda31e55dbbcd396b
http://arxiv.org/abs/1905.01506
http://arxiv.org/abs/1905.01506
A duality theorem for the stable module category of representations of a finite group scheme is proved. One of its consequences is an analogue of Serre duality, and the existence of Auslander-Reiten triangles for the $\mathfrak{p}$-local and $\mathfr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf1ac244edf828ba0f465c3e70f12628
https://doi.org/10.1112/s0010437x19007061
https://doi.org/10.1112/s0010437x19007061
Autor:
Jim Stark, Julia Pevtsova
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319940328
Motivated by questions in modular representation theory, Carlson, Friedlander, and the first author introduced the varieties \(\mathbb E(r, \mathfrak g)\) of r-dimensional abelian p-nilpotent subalgebras of a p-restricted Lie algebra \(\mathfrak g\)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd40744e7aadbd611f611a0e16b3226e
https://doi.org/10.1007/978-3-319-94033-5_14
https://doi.org/10.1007/978-3-319-94033-5_14
These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an