Extensions of the conformal representations for orthogonal Lie algebras

DOI10.1016/j.jalgebra.2012.11.040zbMath1292.17008arXiv1105.1254OpenAlexW2043640099WikidataQ115351057 ScholiaQ115351057MaRDI QIDQ371396

Xiaoping Xu, Yufeng Zhao

Publication date: 9 October 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1254

zbMATH Keywords

tensorrepresentationirreducibilitypolynomial algebraorthogonal Lie algebraconfrontal transformationgeneralizations of the conformalPieri's formula

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81)

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A New Functor fromE₆-mod toE₇-mod ⋮ Conformal oscillator representations of orthogonal Lie algebras ⋮ A new functor from \(D_5-\mathrm{Mod}\) to \(E_6-\mathrm{Mod}\) ⋮ Extensions of inhomogeneous polynomial representations for $\mathfrak {sl}(m+1|n)$sl(m+1|n) ⋮ Singular conformal oscillator representations of orthosymplectic Lie superalgebras ⋮ Conformal oscillator representations of orthosymplectic Lie superalgebras ⋮ Projective oscillator representations of sl(n+1|m) and osp(m|n+1) ⋮ Representations of E7, equivalent combinatorics and algebraic varieties

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