Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Vanessa Miemietz"'
Autor:
Robert Laugwitz, Vanessa Miemietz
Publikováno v:
Robert Laugwitz
This paper develops a theory of pretriangulated 2-representations of dg 2-categories. We characterize cyclic pretriangulated 2-representations, under certain compactness assumptions, in terms of modules over dg algebra 1-morphisms internal to associa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7db3e1867e22c553266ab46db319d8f3
http://arxiv.org/abs/2205.09999
http://arxiv.org/abs/2205.09999
Autor:
Vanessa Miemietz, Aaron Chan
In this article, we study short exact sequences of finitary 2-representations of a weakly fiat 2-category. We provide a correspondence between such short exact sequences with fixed middle term and coidempotent subcoalgebras of a coalgebra 1-morphism
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed87aec84a8089a4b5c6dd4877b2b7c7
https://ueaeprints.uea.ac.uk/id/eprint/74156/
https://ueaeprints.uea.ac.uk/id/eprint/74156/
In this paper, we discuss the generalization of finitary $2$-representation theory of finitary $2$-categories to finitary birepresentation theory of finitary bicategories. In previous papers on the subject, the classification of simple transitive $2$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d114122ab73982540053903c502891d6
http://arxiv.org/abs/2008.01658
http://arxiv.org/abs/2008.01658
Autor:
Vanessa Miemietz, Will Turner
Publikováno v:
Documenta Mathematica. 23:117-170
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ff55f92bfbf7a66f7a837b03df2872b
https://doi.org/10.4171/dm/615
https://doi.org/10.4171/dm/615
We describe a diagrammatic procedure which lifts strict monoidal actions from additive categories to categories of complexes avoiding any use of direct sums. As an application, we prove that every simple transitive $2$-representation of the $2$-categ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39eac25137106c6dfdcb0f60651ae9db
https://ueaeprints.uea.ac.uk/id/eprint/71122/
https://ueaeprints.uea.ac.uk/id/eprint/71122/
We describe the structure of bimodules (over finite dimensional algebras) which have the property that the functor of tensoring with such a bimodule sends any module to a projective module. The main result is that all such bimodules are $\Bbbk $-spli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a4a0703a230e5d240deef814f6857ad
https://ueaeprints.uea.ac.uk/id/eprint/66365/
https://ueaeprints.uea.ac.uk/id/eprint/66365/
Autor:
Vanessa Miemietz, Catharina Stroppel
Publikováno v:
Selecta Mathematica. 25
In this paper we consider the (affine) Schur algebra which arises as the endomorphism algebra of certain permutation modules for the Iwahori–Matsumoto Hecke algebra. This algebra describes, for a general linear group over a p-adic field, a large pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::675cf47441dbf780826a69223f211e4d
https://doi.org/10.1007/s00029-019-0474-y
https://doi.org/10.1007/s00029-019-0474-y
In this article we analyze the structure of 2-categories of symmetric projective bimodules over a finite dimensional algebra with respect to the action of a finite abelian group. We determine under which condition the resulting 2-category is fiat (in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57a8e9146329183e637fb7a6febbe911
http://arxiv.org/abs/1904.05798
http://arxiv.org/abs/1904.05798
Autor:
Vanessa Miemietz, Robert Laugwitz
Publikováno v:
Advances in Mathematics
Motivated by recent advances in the categorification of quantum groups at prime roots of unity, we develop a theory of 2-representations for 2-categories enriched with a p-differential which satisfy finiteness conditions analogous to those of finitar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3744f3db924b0ef1f4fcb0839617765
https://doi.org/10.1016/j.aim.2019.106937
https://doi.org/10.1016/j.aim.2019.106937
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex ${\mathcal{J}}$ of a fiat 2-category $\mathscr{C}$ and the set of equivalence classes of faithful si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c0e898296e1c29e2244072787711187
http://arxiv.org/abs/1802.02078
http://arxiv.org/abs/1802.02078