Publications
Articles and preprints
These may
differ slightly from the published versions.
·
(with Nicolle González, Daoji
Huang, Jacinta Torres) Effective key maps and orthogonal evacuation,
DMUC preprint
24-47, November 2024, 12pp.
·
(with Nicolle González, Daoji
Huang, Jacinta Torres) Keys and evacuation via virtualization, 25pp
|
|
·
(with Alessandro Conflitti,
Ricardo Mamede) A uniform
action of the dihedral group
Z_2 x D_3 on Littlewood--Richardson coefficients. DMUC preprint 24-39 (61pp).
·
(with Thomas Gobet and
Cédric Lecouvey) Non symmetric Cauchy
kernels, Demazure measures and LPP.
(FPSAC 2024 poster)
Extended abstract (12pp) Séminaire Lotharingien de Combinatoire 91 38.B, 2024.
· (with João Santos) Cocrystals of symplectic
Kashiwara-Nakashima tableaux, symplectic
Willis like
direct way, virtual keys and applications, arXiv. arXiv:2111.11160v3, 60pp, 2024,
·
(with Thomas Gobet and
Cédric Lecouvey)
Non symmetric
Cauchy kernel, crystals and last passage percolation, Tunisian Journal of Mathematics,
6, 2, (2023); https://arxiv.org/abs/2212.06587,
·
(with M. Tarighat Feller and
J. Torres) Symplectic cacti, virtualization and Berenstein-Kirillov groups.
https://arxiv.org/abs/2207.08446v3, 70pp, 2022.
·
(with R. Mamede) A classification
of monotone ribbons with full Schur support with application to the
classification of full equivalence classes.
arXiv:1812.04705
·
I. Terada, R.C.
King, O. Azenhas,
The
symmetry of Littlewood-Richardson coefficients: a new hive model involutory
bijection, SIAM Journal on
Discrete Mathematics, Vol. 32, No. 4, pp. 2850-2899, 2018.
·
Skew RSK and
coincidence of Littlewood-Richardson commutors. arXiv:1808.06095
DMUC 17-46 (2017) Preprint.
·
(with R.C. King and I. Terada) The involutive
nature of the Littlewood-Richardson commutativity bijection.
·
(with Aram Emami) NW-SE expansions of
non-symmetric Cauchy kernels on near
staircases and growth diagrams. arXiv:1412.0420
· (with Aram Emami) Growth diagrams and non-symmetric Cauchy identities on NW (SE) near staircases.
(2014) in "Dynamics, Games and Science - International Conference and Advanced School Planet
Earth DGS II,"Editors: Jean-Pierre Bourguignon, Rolf Jelstch, Alberto Adrego Pinto, and
Marcelo Viana, (Springer Verlag, 2015).
·
(with Aram Emami) An analogue of the Robinson-Schensted-Knuth correspondence and non-symmetric Cauchy
kernels for truncated staircases, European J. Combin. 46 (2015) 16–44; arXiv:1310.0341
·
(with Aram Emami) Semi-skyline augmented fillings
and non-symmetric Cauchy kernels for stair-type shapes FPSAC13, Discrete
Mathematics & Theoretical Computer Science Proceedings, AS 2013, 1011--1022.
· (with Alessandro Conflitti, Ricardo Mamede), Números
(coeficientes) de Littlewood-Richardson e simetrias (in
Portuguese), Actas do Encontro Nacional da SPM, 2010, Boletim da Sociedade
Portuguesa de Matemática.
·
(with Ricardo Mamede), Matrix
Tableau-Pairs with Key and Shuffling Conditions,
Séminaire Lotharingien de Combinatoire, 57 (2010), B57f (2010), 38 pp.
·
(with Alessandro Conflitti,
Ricardo Mamede)
Multiplicity-free skew Schur
functions with full interval support, in
Séminaire
Lotharingien de Combinatoire, 75 (2019), Article B75j, 34pp; arXiv:1009.4170v3
· (with Ricardo Mamede), Actions of the Symmetric Group Generated by
Comparable Sets and Smith Invariants. Séminaire Lotharingien
de Combinatoire, 59 (2010),
Article B59g, 27pp.
·
(with Alessandro Conflitti,
Ricardo Mamede), On an
index two subgroup of puzzle and Littlewood-Richardson tableau $\mathbb Z_2\times \mathbb
S_3$-symmetries. (Extended abstract),
Preprint DMUC 09-51, 2009.
·
(with Alessandro
Conflitti, Ricardo
Mamede), Linear
time equivalent Littlewood-Richardson coefficient maps. DMCTS Proceedings (Discrete
Mathematics & Theoretical Computer Science Proceedings),
AK, 2009, 127-144.
·
A variation on tableau
switching and a Pak-Vallejo's Conjecture. DMCTS Proceedings
(Discrete Mathematics &
Theoretical Computer Science Proceedings), AJ, 2008, 529-542.
·
(with
Ricardo Mamede) , Key polynomials, invariant factors and an action of the
symmetric group on Young tableaux. FPSAC 2007, Nankay University, Tianjin, China.
· Schur functions, pairing of
parentheses, jeu de taquin
and invariant factors. Mathematical papers
in honour of Eduardo Marques de Sá,
7-24, Textos Mat. Sér. B,
39 Univ. Coimbra, Coimbra, 2006.
· (with Ricardo Mamede),
Matrix realizations of pairs of Young tableaux, keys and shuffles. Séminaire Lotharingien de Combinatoire,
53 (2006), B53h, 22pp.
· (with Ricardo Mamede), Realizações matriciais de pares de tableaux de Young e palavras
francas.
(in
Portuguese) Actas do Encontro de Algebristas
Portugueses/2005,
Universidade do Minho,
(2006), 19-37.
·
(with Ricardo Mamede), Action
of the symmetric group on sets of skew-tableaux with prescribed matrix
realization. Linear Algebra and Its Applications 401 (2005), 221-275.
· Littlewood-Richardson fillings and their symmetries. Matrices and group
representations (Coimbra, 1998), 81-92, Textos Mat.
Sér. B, 19, Univ. Coimbra,
Coimbra, 1999.
·
(with João Filipe Queiró, Eduardo
Marques de Sá, Ana Paula Santana), Interlacing of eigenvalues
and invariant factors. Mathematical
Inequalities and Applications, 3 (2000) 149-154.
·
The
admissible interval for the invariant factors of a product of matrices.
Linear
and Multilinear Algebra 46 (1999) 51-99.
·
Opposite
Littlewood-Richardson sequences and their matrix realizations.
Linear Algebra and Its Applications, 225
(1995) 91-116.
·
Littlewood-Richardson rule: Generalizations and matrix
realizations (in Portuguese)
Proceedings of the
3rd Meeting of the Portuguese Algebraists, Coimbra (1993).
·
(with Eduardo Marques de Sá), Matrix
realizations of Littlewood-Richardson sequences.
Linear and Multilinear Algebra, 27
(1990) 229 –
242.
· A técnica de localização para desigualdades de entrelaçamento
sobre um domínio de ideais principais.
(in Portuguese) Actas do VII Congressso do GMEL,
vol. I Coimbra, (1985), 131-139.
· Extensões de Módulos e Produtos de Matrizes. (in
Portuguese) Actas das XI Jornadas Hispano
Lusas de Matemáticas, vol II
Badajoz, Espanha, (1986), 27-34.
Other papers
· On an
involution on the set of Littlewood-Richardson-tableaux and the hidden
commutativity. Preprint 2005.
· The hidden.commutativity of Littlewood-Richardson
coefficients. Preprint 2000.
Monographs
· Realizações Matriciais de Quadros de Young e suas Formas Canónicas, Ph.D. Thesis,
Departamento de Matemática, Universidade de Coimbra,
1991.
· Técnicas de Localização para Factores Invariantes de Módulos e Matrizes, Master Thesis,
Departamento de Matemática, Universidade de Coimbra, 1985.
Books (as co-editor)
·
Graciano de Oliveira, M. Antónia Duffner, Olga Azenhas (editors) Special Issue: Linear
Preserver Problems,
Linear and Multilinear Algebra,
48, No.4, 281- 408 (2001).
·
O. Azenhas, A. L. Duarte, J. F. Queiró,
A. P. Santana (editors), Mathematical
papers
in
honour of Eduardo Marques
de Sá , 7-24, Textos Mat. Sér. B, 39 Univ. Coimbra,
Coimbra,
2006.
·
(co-editor) Special Issue: Encontro Nacional
da Sociedade Portuguesa de Matemática 2012.
Boletim da
Sociedade Portuguesa de Matemática
Others
· Summer School Interviews with Francesco Brenti, Christian Krattenthaler and Vic Reiner:
CIM Bulletin 34, 2013
Another side
Some Photos
