Maximal and primitive elements in Weyl modules for type \(A_2\)

DOI10.1006/jabr.1998.7766zbMath0932.17017OpenAlexW2029877391MaRDI QIDQ1295944

Nanhua Xi

Publication date: 12 March 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7766

zbMATH Keywords

primitive elementsWeyl modulesVerma modulesmaximal elementsquantized Frobenius kernel

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (5)

Irreducible modules of quantized enveloping algebras at roots of 1, ii ⋮ Explicit calculations in an infinitesimal singular block of SL_n ⋮ Singular blocks of restricted \(\mathfrak{sl}_3\) ⋮ A New Multiplicity Formula for the Weyl Modules of TypeA ⋮ Maximal and primitive elements in Weyl modules for type \(A_2\)

Cites Work

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• Quantum groups at roots of 1
• The submodule structure of Weyl modules for \(SL_ 3\)
• The structure of certain highest weight modules for \(SL_ 3\)
• Maximal and primitive elements in Weyl modules for type \(A_2\)
• Irreducible modules of quantized enveloping algebras at roots of 1
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Introduction to quantum groups

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