Jeu de taquin and diamond cone for Lie (super)algebras

DOI10.1016/j.bulsci.2014.08.004zbMath1326.17007OpenAlexW1981725664MaRDI QIDQ2255742

Abdelkader Ben Hassine, Boujemaâ Agrebaoui, Didier Arnal

Publication date: 18 February 2015

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2014.08.004

zbMATH Keywords

jeu de taquinorthosymplectic Lie superalgebrasemistandard Young tableauxquasistandard Young tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Diamond cone for \(\mathfrak{spo}(2m, 1)\) ⋮ Sliding presentation of the jeux de taquin for classical Lie groups

Cites Work

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• Diamond cone for \(\mathfrak{spo}(2m, 1)\)
• Diamond representations of \({\mathfrak {sl}}(n)\)
• Symplectic standard tableaux
• Construction of graded covariant \(GL(m/n)\) modules using tableaux
• The theory of Lie superalgebras. An introduction
• Tensor product representations for orthosymplectic Lie superalgebras
• Schensted-type correspondences and plactic monoids for types \(B_n\) and \(D_n\)
• Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system \(C_n\)
• Representation functors and flag-algebras for the classical groups. II
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• The symplectic diamond cone
• Representations of OSp(M/2n) and Young supertableaux
• Young diagrams, supercharacters of OSp(M/N) and modification rules
• A symplectic jeu de taquin bijection between the tableaux of King and of De Concini

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