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Verma module imbeddings and the Bruhat order for Kac-Moody algebras

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Publication:1090406
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DOI10.1016/0021-8693(87)90148-7zbMath0621.17014OpenAlexW2035990230MaRDI QIDQ1090406

Wayne Neidhardt

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90148-7


zbMATH Keywords

Weyl groupKac-Moody Lie algebraBruhat orderhighest weightsVerma module embedding


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)




Cites Work

  • Structure of representations with highest weight of infinite-dimensional Lie algebras
  • Projective modules over graded Lie algebras. I
  • A new class of Lie algebras
  • Structure of representations generated by vectors of highest weight
  • The BGG Resolution, Character and Denominator Formulas, and Related Results for Kac-Moody Algebras
  • SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH


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