A New Functor fromE6-mod toE7-mod

DOI10.1080/00927872.2014.918992zbMath1377.17013arXiv1201.5473OpenAlexW1800536631MaRDI QIDQ3448250

Xiaoping Xu

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1201.5473

zbMATH Keywords

representationfunctorpolynomial extensionirreducible modulesimple Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Projective oscillator representations of sl(n+1|m) and osp(m|n+1) ⋮ Representations of E7, equivalent combinatorics and algebraic varieties

Cites Work

• Extensions of the conformal representations for orthogonal Lie algebras
• Generalized projective representations for \(\mathrm{sl}(n+1)\)
• Lie algebras of differential operators and Lie-algebraic potentials
• On the tensor product of a finite and an infinite dimensional representation
• The Lie algebraic structure of differential operators admitting invariant spaces of polynomials
• A basis for representations of symplectic Lie algebras
• Modules with bounded weight multiplicities for simple Lie algebras
• Classification of irreducible weight modules
• Simple C_n modules with multiplicities 1 and applications
• On modules of bounded multiplicities for the symplectic algebras
• Simple A₂-modules with a finite dimensional weight space
• Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems

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