Homomorphisms between Verma modules in characteristic p

DOI10.1016/0021-8693(88)90132-9zbMath0644.17003OpenAlexW2136708999WikidataQ60578971 ScholiaQ60578971MaRDI QIDQ1102361

James Franklin

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90132-9

zbMATH Keywords

homomorphismsuniversal enveloping algebrahighest weightcharacteristic pcomplex semisimple Lie algebraVerma-module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (10)

Cohomology of \(\mathfrak{sl}_3\) and \(\mathfrak{gl}_3\) with coefficients in simple modules and Weyl modules in positive characteristics ⋮ On modules arising from quantum groups at \(p^r\)-th roots of unity ⋮ BGG categories in prime characteristics ⋮ Homomorphisms between Verma modules in characteristic p ⋮ On Weyl modules over affine Lie algebras in prime characteristic ⋮ Local systems of shapovalov elements ⋮ Explicit expressions for Šapovalov elements in type A ⋮ Unnamed Item ⋮ The submodule structure of characteristic p verma modules for croups of type at ⋮ Blocks in weight spaces in the root lattice

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