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pro vyhledávání: '"Nicolas, Ressayre"'
A reduction formula for the branching coefficients of tensor products of representations and more generally restrictions of representations of a semisimple group to a semisimple subgroup is proved in work by Knutson-Tao and Derksen-Weyman. This formu
Externí odkaz:
http://arxiv.org/abs/2105.14254
Autor:
Pelletier, Maxime, Nicolas, Ressayre
We are interested in identities between Littlewood-Richardson coefficients, and hence in comparing different tensor product decompositions of the irreducible modules of the linear group GL n (C). A family of partitions-called near-rectangular-is defi
Externí odkaz:
http://arxiv.org/abs/2005.09877
Autor:
Nicolas Ressayre
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 61:231-246
In this note, we prove the vanishing of infinitely many rectangular symmetric Kronecker coefficients by finding holes in the corresponding semigroup.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ec811e28126eea32a6d344829963a63
https://doi.org/10.1007/s13366-019-00466-7
https://doi.org/10.1007/s13366-019-00466-7
A reduction formula for the branching coefficients of tensor products of representations and more generally restrictions of representations of a semisimple group to a semisimple subgroup is proved in work by Knutson-Tao and Derksen-Weyman. This formu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae4577e2f226a420b05d78e5f037f7b1
https://hal.archives-ouvertes.fr/hal-03235536/file/main.pdf
https://hal.archives-ouvertes.fr/hal-03235536/file/main.pdf
Autor:
Nicolas Ressayre, Joseph M. Landsberg
Publikováno v:
Differential Geometry and its Applications. 55:146-166
We initiate a study of determinantal representations with symmetry. We show that Grenet's determinantal representation for the permanent is optimal among determinantal representations equivariant with respect to left multiplication by permutation and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ad72e6996baa244b491512ac50b4e84
https://doi.org/10.1016/j.difgeo.2017.03.017
https://doi.org/10.1016/j.difgeo.2017.03.017
Autor:
Nicolas Ressayre
The Kronecker coefficients and the Littlewood-Richardson coefficients are nonnegative integers depending on three partitions. By definition, these coefficients are the multiplicities of the tensor product decomposition of two irreducible representati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db71d54ad7b681b5207974ea25abd5f8
Autor:
Nicolas Ressayre
The support of the tensor product decomposition of integrable irreducible highest weight representations of a symmetrizable Kac-Moody Lie algebra g \mathfrak {g} defines a semigroup of triples of weights. Namely, given λ \lambda in the set P + P_+ o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1abd6910a891e29680b94d006fea709
Autor:
Nicolas Ressayre, Joseph M. Landsberg
Publikováno v:
the 2016 ACM Conference
the 2016 ACM Conference, Jan 2016, Cambridge, France. pp.29-35, ⟨10.1145/2840728.2840735⟩
ITCS
the 2016 ACM Conference, Jan 2016, Cambridge, France. pp.29-35, ⟨10.1145/2840728.2840735⟩
ITCS
International audience; Grenet's determinantal representation for the permanent is optimal among determinantal representations that are equiv-ariant with respect to left multiplication by permutation and diagonal matrices (roughly half the symmetry g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06d11a48ac4f6706c97ed882cfba450d
https://hal.archives-ouvertes.fr/hal-02158533
https://hal.archives-ouvertes.fr/hal-02158533
Autor:
Nicolas Ressayre
Publikováno v:
International Mathematics Research Notices. 2012:4966-5005
Let K be a connected compact Lie group. The triples (O1, O2, O3) of adjoint K-orbits such that O1+O2+O3 contains 0 are parametrized by a closed convex polyhedral cone. This cone is denoted Γ(K) and called the eigencone of K. For K simple of type A,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83c8936acaef63ff914edf8b471687cd
https://doi.org/10.1093/imrn/rnr180
https://doi.org/10.1093/imrn/rnr180
Publikováno v:
Mathematische Annalen. 354:401-425
We prove a generalization of Fulton’s conjecture which relates intersection theory on an arbitrary flag variety to invariant theory.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c876b62438ffee2e785801367d4ea77e
https://doi.org/10.1007/s00208-011-0728-2
https://doi.org/10.1007/s00208-011-0728-2