Character, Multiplicity, and Decomposition Problems in the Representation Theory of Complex Lie Algebras

DOI10.1007/978-3-319-62181-4_3zbMath1430.17022OpenAlexW2754500026MaRDI QIDQ4608811

Peter Fiebig

Publication date: 28 March 2018

Published in: Lie Groups, Differential Equations, and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62181-4_3

zbMATH Keywords

simple complex Lie algebrascategory Ohighest weight categoriesalgebraic Lie theory

Mathematics Subject Classification ID

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

Related Items (1)

Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac-Moody algebras

Cites Work

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• The Hodge theory of Soergel bimodules.
• The combinatorics of category \({\mathcal O}\) over symmetrizable Kac-Moody algebras
• Moduln mit einem höchsten Gewicht
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Centers and translation functors for the category \({\mathcal O}\) over Kac-Moody algebras
• On the relation between intersection cohomology and representation theory in positive characteristic.
• Sheaves on moment graphs and a localization of Verma flags
• Parity sheaves
• Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture
• The combinatorics of Coxeter categories
• Moment graphs in representation theory and geometry
• Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
• Schubert calculus and torsion explosion
• KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN
• From moment graphs to intersection cohomology

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