Representation theory on the open Bruhat cell.

DOI10.1016/j.jsc.2004.11.004zbMath1126.20025OpenAlexW2059771697MaRDI QIDQ2456544

Jan Draisma

Publication date: 19 October 2007

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2004.11.004

zbMATH Keywords

GrassmanniansLie algebrasrepresentation theorycategory \(\mathcal O\)vector fieldsconnected reductive algebraic groupsHermitian pairsparabolically induced modules

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Lie algebras of vector fields and related (super) algebras (17B66) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Lie algebras of linear algebraic groups (17B45)

Related Items (1)

Cyclotomic Gaudin models: construction and Bethe ansatz

Uses Software

• LiE

Cites Work

• The n-homology of Harish-Chandra modules: Generalizing a theorem of Kostant
• Moduln mit einem höchsten Gewicht
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Constructing Lie algebras of first order differential operators.
• Parabolic subgroups with Abelian unipotent radical
• Structure of representations generated by vectors of highest weight
• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
• Induced and Produced Representations of Lie Algebras
• Structure of certain induced representations of complex semisimple Lie algebras
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