Zobrazeno 1 - 10
of 630
pro vyhledávání: '"Ressayre, A."'
Autor:
Ressayre, Nicolas, Francone, Luca
Consider the complete flag variety $X$ of any complex semi-simple algebraic group $G$. We show that the structure coefficients of the Belkale-Kumar product $\odot_0$, on the cohomology ${\operatorname H}^{*}(X,\mathbb{Z})$, are all either $0$ or $1$.
Externí odkaz:
http://arxiv.org/abs/2312.02574
The Littlewood-Richardson coefficients $c^\nu_{\lambda,\mu}$ are the multiplicities in the tensor product decomposition of two irreducible representations of the general linear group GL$(n, {\mathbb C})$. They are parametrized by the triples of parti
Externí odkaz:
http://arxiv.org/abs/2206.03054
The Newell-Littlewood numbers are tensor product multiplicities of Weyl modules for the classical groups in the stable range. Littlewood-Richardson coefficients form a special case. Klyachko connected eigenvalues of sums of Hermitian matrices to the
Externí odkaz:
http://arxiv.org/abs/2107.03152
Autor:
Bulois, Michaël, Ressayre, Nicolas
Publikováno v:
In Journal of Algebra 1 June 2024 647:515-532
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:
Francone, Luca, Ressayre, Nicolas
Let g be a complex semi-simple Lie algebra and g be a semisimple subalgebra of g. Consider the branching problem of decomposing the simple g-representations V as a sum of simple grepresentations V. When g = g x g, it is the tensor product decompositi
Externí odkaz:
http://arxiv.org/abs/2104.14187
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:
Bulois, Michaël, Ressayre, Nicolas
Let ${\mathfrak g}$ be a complex simple Lie algebra with Borel subalgebra ${\mathfrak b}$. Consider the semidirect product $I{\mathfrak b}={\mathfrak b}\ltimes{\mathfrak b}^*$, where the dual ${\mathfrak b}^*$ of ${\mathfrak b}$, is equipped with the
Externí odkaz:
http://arxiv.org/abs/2002.03395
Autor:
Sandra Plancade, Elodie Marchadier, Sylvie Huet, Adrienne Ressayre, Camille Noûs, Christine Dillmann
Publikováno v:
Plant Methods, Vol 19, Iss 1, Pp 1-21 (2023)
Abstract Background The time between the appearance of successive leaves, or phyllochron, characterizes the vegetative development of annual plants. Hypothesis testing models, which allow the comparison of phyllochrons between genetic groups and/or e
Externí odkaz:
https://doaj.org/article/f6c03434844c4dc59867dd2fc64baede
Autor:
Ressayre, Nicolas
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:
http://arxiv.org/abs/1907.07931