Differential equations and singular vectors in Verma modules over \(\mathfrak{sl}(n, \mathbb{C})\)
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Publication:2354166
DOI10.1007/s10114-015-4640-7zbMath1354.17006OpenAlexW2131429683MaRDI QIDQ2354166
Publication date: 10 July 2015
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-015-4640-7
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items (2)
Differential-operator representations of Weyl group and singular vectors in Verma modules ⋮ A computer algorithm for the BGG resolution
Cites Work
- Differential-operator representations of \(S_n\) and singular vectors in Verma modules
- Singular vectors of quantum group representations for straight Lie algebra roots
- Quantum group \(U_q(A_\ell)\) singular vectors in Poincaré-Birkhoff-Witt basis
- Singular vectors in Verma modules over Kac-Moody algebras
- Structure of representations generated by vectors of highest weight
- Quantum groupUq(Dℓ) singular vectors in the Poincaré-Birkhoff-Witt basis
- Structure of certain induced representations of complex semisimple Lie algebras
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