Zobrazeno 1 - 10
of 90 838
pro vyhledávání: '"Fourier A"'
We conceptualize in the paper the linear degenerate symplectic flag varieties as symmetric degenerations within the framework of type $A$ equioriented quivers. First, in the larger context of symmetric degenerations, we give a self-contained proof of
Externí odkaz:
http://arxiv.org/abs/2405.02739
Cerulli Irelli and Lanini have shown that PBW degenerations of flag varieties in type A and C are actually Schubert varieties of higher rank. We introduce Dynkin cones to parameterise specific abelianisations of classical Lie algebras. Within this fr
Externí odkaz:
http://arxiv.org/abs/2404.05277
In this survey, we present a detailed guide on using the computer algebra system OSCAR to compute monomial bases for simple, finite-dimensional modules of simple, complex Lie algebras. We will also demonstrate how to determine monomial bases for the
Externí odkaz:
http://arxiv.org/abs/2403.15018
In this paper, we establish that FFLV polytopes, which describe monomial bases compatible with the PBW filtration on finite-dimensional simple modules for $\lie{sl}_n$ and $\lie{sp}_n$, are actually string polytopes as described by Littelmann and Ber
Externí odkaz:
http://arxiv.org/abs/2402.01492
Autor:
Fourier, Ghislain, van Eß, León
We explicitly provide minimal Gr\"obner bases for simple, finite-dimensional modules of complex Lie algebras of types A and C, using a homogeneous ordering that is compatible with the PBW filtration on the universal enveloping algebras.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2401.01634
For a class of posets we establish that the f-vector of the chain polytope dominates the f-vector of the order polytope. This supports a conjecture of Hibi and Li. Our proof reveals a combinatorial description of the faces of the corresponding chain
Externí odkaz:
http://arxiv.org/abs/2309.01626
Autor:
Antonio Farina, Macarena Villagrán-García, Anthony Fourier, Anne-Laurie Pinto, Fatima Chorfa, Noémie Timestit, Tifanie Alberto, Jérôme Aupy, Marie Benaiteau, Cristina Birzu, Lucia Campetella, François Cotton, Stéphane Dalle, Clara Fontaine Delaruelle, Pauline Dumez, Rafaele Germi, Marion Le Maréchal, Denis Maillet, Romain Marignier, Antoine Pegat, Dimitri Psimaras, Marie Rafiq, Géraldine Picard, Virginie Desestret, Isabelle Quadrio, Jérôme Honnorat, Bastien Joubert
Publikováno v:
The Lancet Regional Health. Europe, Vol 44, Iss , Pp 101011- (2024)
Summary: Background: Immune checkpoint inhibitor-related encephalitis (ICI-encephalitis) is not well characterised and diagnostic and prognostic biomarkers are lacking. We aimed to comprehensively characterise ICI-encephalitis and identify diagnostic
Externí odkaz:
https://doaj.org/article/507817f9fd4a4e77b37288ae6e2b16c1
We define a specialization map between cohomology algebras of quiver Grassmannians of Dynkin type and we prove that it is surjective in type A. This generalizes a result of Lanini and Strickland.
Comment: The new version include a new definition
Comment: The new version include a new definition
Externí odkaz:
http://arxiv.org/abs/2206.10281
Publikováno v:
Beitr Algebra Geom (2022)
We characterise the symplectic Weyl group elements such that the FFLV basis is compatible with the PBW filtration on symplectic Demazure modules, extending type A results by the second author. Surprisingly, the number of such elements depends not on
Externí odkaz:
http://arxiv.org/abs/2205.01747
Autor:
Farina, Antonio, Villagrán-García, Macarena, Fourier, Anthony, Pinto, Anne-Laurie, Chorfa, Fatima, Timestit, Noémie, Alberto, Tifanie, Aupy, Jérôme, Benaiteau, Marie, Birzu, Cristina, Campetella, Lucia, Cotton, François, Dalle, Stéphane, Delaruelle, Clara Fontaine, Dumez, Pauline, Germi, Rafaele, Le Maréchal, Marion, Maillet, Denis, Marignier, Romain, Pegat, Antoine, Psimaras, Dimitri, Rafiq, Marie, Picard, Géraldine, Desestret, Virginie, Quadrio, Isabelle, Honnorat, Jérôme, Joubert, Bastien
Publikováno v:
In The Lancet Regional Health - Europe September 2024 44