Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Kevin Coulembier"'
Autor:
Kevin Coulembier
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 047 (2011)
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed. The Fourier transforms can be defined by their Bochner's relations an
Externí odkaz:
https://doaj.org/article/7694a759cc0f4ec29a3879ec5c3d9306
Publikováno v:
Annals of Mathematics. 197
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f14f9aee5cee50b4977761c31b80d410
https://doi.org/10.4007/annals.2023.197.3.5
https://doi.org/10.4007/annals.2023.197.3.5
Autor:
Kevin Coulembier, Ivan Penkov
Publikováno v:
Moscow Mathematical Journal. 19:655-693
We study a version of the BGG category O for Dynkin Borel subalgebras of root-reductive Lie algebras g, such as gl(\infty). We prove results about extension fullness and compute the higher extensions of simple modules by Verma modules. In addition, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::744677604978f4526d420b141ee87081
https://doi.org/10.17323/1609-4514-2019-19-4-655-693
https://doi.org/10.17323/1609-4514-2019-19-4-655-693
Autor:
Kevin Coulembier
Publikováno v:
Mathematische Zeitschrift. 295:821-837
We classify all equivalences between the indecomposable abelian categories which appear as blocks in BGG category $${\mathcal {O}}$$ for reductive Lie algebras. Our classification implies that a block in category $${\mathcal {O}}$$ only depends on th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd851c495448b1b8bfdeb30967dff226
https://doi.org/10.1007/s00209-019-02376-9
https://doi.org/10.1007/s00209-019-02376-9
Publikováno v:
Mathematical Research Letters. 26:447-499
We study the problem of indecomposability of translations of simple modules in the principal block of BGG category O for sl(n), as conjectured in [KiM1]. We describe some general techniques and pro ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47ca5ea7fb6dfb42fcdc59c78dd3170f
https://doi.org/10.4310/mrl.2019.v26.n2.a5
https://doi.org/10.4310/mrl.2019.v26.n2.a5
We study abelian envelopes for pseudo-tensor categories with the property that every object in the envelope is a quotient of an object in the pseudo-tensor category. We establish an intrinsic criterion on pseudo-tensor categories for the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c1165b6db66a14ab6d32c8855b58d2d
Autor:
Kevin Coulembier
We study how tensor categories can be presented in terms of rigid monoidal categories and Grothendieck topologies and show that such presentations lead to strong universal properties. As the main tool in this study, we define a notion on preadditive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8665c967e357809d62798b3677862f51
http://arxiv.org/abs/2011.02137
http://arxiv.org/abs/2011.02137
Autor:
Kevin Coulembier
We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structure on a category is unique. Finally, we give a proof for the known fac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da144ac2020f0a920401bead5d02001a
Autor:
Kevin Coulembier
We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal categories. This establishes a new tool for the construction of tensor categories. As an example we obtain new proofs for the existence of several universal tenso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3366dffbe62ef5c43ad5707cdb8063d7
Autor:
Shun-Jen Cheng, Kevin Coulembier
We study a semisimple extension of a Takiff superalgebra, which turns out to have a remarkably rich representation theory. We determine the blocks in both the finite-dimensional and BGG module categories and also classify the Borel subalgebras. We fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66e0fac157cc44cc015715eda407fa5d