Zobrazeno 1 - 10
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pro vyhledávání: '"Jon F. Carlson"'
Autor:
Jon F. Carlson
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 63:647-660
Suppose that $G$ is a finite group and $k$ is a field of characteristic $p>0$. We consider the complete cohomology ring $\mathcal{E}_M^* = \sum_{n \in \mathbb{Z}} \widehat{Ext}^n_{kG}(M,M)$. We show that the ring has two distinguished ideals $I^* \su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::711ef1cfc7035bab8f3a11a61ef2186d
https://doi.org/10.1007/s13366-021-00595-y
https://doi.org/10.1007/s13366-021-00595-y
Publikováno v:
Journal of Algebra. 560:879-913
We investigate a version of the Green correspondence for categories of complexes, including homotopy categories and derived categories. The correspondence is an equivalence between a category defined over a finite group G and the same for a subgroup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47dfaecb560c76645f1951ed3eb4e9ac
https://doi.org/10.1016/j.jalgebra.2020.05.029
https://doi.org/10.1016/j.jalgebra.2020.05.029
Autor:
David J. Benson, Jon F. Carlson
Publikováno v:
Journal of Algebra. 558:43-69
We introduce the concept of a nearly null map in the stable module category, and relate it to the notion of virtual projectivity. We show that the trivial module k is virtually M-projective if and only if the map f : N → k in the triangle N → f k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a43eb975d9081c533b94dac568f6b705
https://doi.org/10.1016/j.jalgebra.2019.03.021
https://doi.org/10.1016/j.jalgebra.2019.03.021
Autor:
Jon F. Carlson, David J. Benson
Publikováno v:
Archiv der Mathematik. 114:503-513
Let $$\mathfrak {g}$$ be a finite dimensional nilpotent p-restricted Lie algebra over a field k of characteristic p. For $$p\geqslant 5$$, we show that every endotrivial $$\mathfrak {g}$$-module is a direct sum of a syzygy of the trivial module and a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a7434135e1c69941acb3f6544a0ac75
https://doi.org/10.1007/s00013-019-01426-2
https://doi.org/10.1007/s00013-019-01426-2
Autor:
Jon F. Carlson, David J. Benson
Let $k$ be a field of characteristic $p > 0$. For $G$ an elementary abelian $p$-group, there exist collections of permutation module such that if $C^*$ is any exact bounded complex whose terms are sums of copies of modules from the collection, then $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a5709cda3e0c1e5ff52173685881ddb
http://arxiv.org/abs/2007.04647
http://arxiv.org/abs/2007.04647
Autor:
David J. Benson, Jon F. Carlson
Publikováno v:
Journal of Pure and Applied Algebra. 222:3566-3584
Nilpotence has been studied in stable homotopy theory and algebraic geometry. We study the corresponding notion in modular representation theory of finite groups, and apply the discussion to the study of ghosts, and generation of the stable module ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c31c72fbc5b90f6b046c3387c95baab3
https://doi.org/10.1016/j.jpaa.2018.01.001
https://doi.org/10.1016/j.jpaa.2018.01.001
Autor:
Jon F. Carlson, Paul Balmer
Publikováno v:
Algebras and Representation Theory. 21:399-417
We prove that the only separable commutative ring-objects in the stable module category of a finite cyclic p-group G are the ones corresponding to subgroups of G. We also describe the tensor-closure of the Kelly radical of the module category and of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d33651cf95cde880444dd9cb7cfd8a73
https://doi.org/10.1007/s10468-017-9719-7
https://doi.org/10.1007/s10468-017-9719-7
Publikováno v:
Canadian Mathematical Bulletin. 59:682-692
Suppose that G is a finite group and k is a field of characteristic p > 0. A ghost map is a map in the stable category of finitely generated kG-modules which induces the zero map in Tate cohomology in all degrees. In an earlier paper we showed that t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e675a5e1ffb830bf8c257ca4c4ec71b1
https://doi.org/10.4153/cmb-2016-038-4
https://doi.org/10.4153/cmb-2016-038-4
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
Autor:
Daniel K. Nakano, Jon F. Carlson
Publikováno v:
Transformation Groups. 19:721-734
In this paper the authors investigate the structure of the restricted Lie algebra cohomology of p-nilpotent Lie algebras with trivial p-power operation. Our study is facilitated by a spectral sequence whose E 2-term is the tensor product of the symme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc405d1f32715f6249cd381ac41a1607
https://doi.org/10.1007/s00031-014-9276-7
https://doi.org/10.1007/s00031-014-9276-7