Jantzen's filtrations of Weyl modules
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Publication:1077543
DOI10.1007/BF01168012zbMath0595.20038MaRDI QIDQ1077543
Publication date: 1987
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173822
socle seriesWeyl modulesKazhdan-Lusztig polynomialsJantzen filtrationcomposition factor multiplicitiessemi-simple algebraic groupJantzen conjecture
Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)
Related Items
Generalised Jantzen filtration of exceptional Lie superalgebras ⋮ Coxeter combinatorics for sum formulas in the representation theory of algebraic groups ⋮ Translation and cancellation of socle series patterns ⋮ Extensions of modules for infinitesimal algebraic groups ⋮ On the alcove identification operator of semisimple algebraic groups ⋮ Generalised Jantzen filtration of Lie superalgebras. I ⋮ Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis ⋮ Socle series of cohomology groups of line bundles on \(G/B\) ⋮ The composition of intertwining homomorphisms ⋮ Extensions of simple modules for finite Chevalley groups ⋮ On the second socle level of induced modules for algebraic groups ⋮ Structure of cohomology of line bundles on G/B for semisimple groups
Cites Work
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- Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
- Towards the Kazhdan-Lusztig conjecture
- Darstellungen halbeinfacher Gruppen und kontravariante Formen.
