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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR1.4k papers
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- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT764 papers
17 papers · 1 filter
Degrees of Irreducible Morphisms over Perfect Fields
Claudia Chaio, Patrick Le Meur, Sonia Trepode
The module category of any artin algebra is filtered by the powers of its radical, thus defining an associated graded category. As an extension of the degree of irreducible morphis…
Representation theory of partial relation extensions
Ibrahim Assem, Juan Carlos Bustamante, Julie Dionne +2
Let C be a finite dimensional algebra of global dimension at most two. A partial relation extension is any trivial extension of C by a direct summand of its relation C-C-bimodule.…
Constructible sheaves on nilpotent cones in rather good characteristic
Pramod Achar, Anthony Henderson, Daniel Juteau +1
We study some aspects of modular generalized Springer theory for a complex reductive group with coefficients in a field under the assumption that the characteristic…
Hochschild cohomology of relation extension algebras
Ibrahim Assem, M. Andrea Gatica, Ralf Schiffler +1
Let be the split extension of a finite dimensional algebra by a --bimodule . We define a morphism of associative graded algebras $φ^*:\HH^*(B)\rightarrow \HH^*(C)$…
Modular generalized Springer correspondence III: exceptional groups
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
We complete the construction of the modular generalized Springer correspondence for an arbitrary connected reductive group, with a uniform proof of the disjointness of induction se…
Covering techniques in Auslander-Reiten theory
Claudia Chaio, Patrick Le Meur, Sonia Trepode
Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander-Reiten component of the algebra. Thi…
Modular generalized Springer correspondence II: classical groups
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
We construct a modular generalized Springer correspondence for any classical group, by generalizing to the modular setting various results of Lusztig in the case of characteristic-…
Modular perverse sheaves on flag varieties I: tilting and parity sheaves
Pramod N. Achar, Simon Riche
In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group is a "graded version" of the category of tilting perverse sh…
Weyl group actions on the Springer sheaf
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
We show that two Weyl group actions on the Springer sheaf with arbitrary coefficients, one defined by Fourier transform and one by restriction, agree up to a twist by the sign char…
Iwahori-Matsumoto involution and linear Koszul Duality
Ivan Mirković, Simon Riche
We use linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exterior algebras studied in previous papers of the authors to give a g…
Linear Koszul Duality II - Coherent sheaves on perfect sheaves
Ivan Mirković, Simon Riche
In this paper we continue the study (initiated in a previous article) of linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exter…
Modular Koszul duality
Simon Riche, Wolfgang Soergel, Geordie Williamson
We prove an analogue of Koszul duality for category of a reductive group in positive characteristic larger than 1 plus the number of roots of . However…
Special biserial algebras with no outer derivations
Ibrahim Assem, Juan Carlos Bustamante, Patrick Le Meur
Let be a special biserial algebra over an algebraically closed field. We show that the first Hohchshild cohomology group of with coefficients in the bimodule vanishes i…
Degrees of irreducible morphisms and finite-representation type
Patrick Le Meur, Claudia Chaio, Sonia Trepode
We study the degree of irreducible morphisms in any Auslander-Reiten component of a finite dimensional algebra over an algebraically closed field. We give a characterization for an…
Opérateurs d'entrelacement et algèbres de Hecke avec paramètres d'un groupe réductif -adique - le cas des groupes classiques
Volker Heiermann
For a symplectic or orthogonal -adic group (not necessarily split), or an inner form of a general linear -adic group, we compute the endomorphism algebras of some induced…
Koszul duality and modular representations of semi-simple Lie algebras
Simon Riche
In this paper we prove that if G is a connected, simply-connected, semi-simple algebraic group over an algebraically closed field of sufficiently large characteristic, then all the…
Topological invariants of piecewise hereditary algebras
Patrick Le Meur
We investigate the Galois coverings of piecewise algebras and more particularly their behaviour under derived equivalences. Under a technical assumption which is satisfied if the a…