Induced modules for affine Lie algebras.
Futorny, Vyacheslav, Kashuba, Iryna (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “The F-method and a branching problem for generalized Verma modules associated to ”
Induced modules for affine Lie algebras.
Formal de Rham theory: irreducible representations of finite simple Lie pseudoalgebras
Alessandro D'Andrea (2004)
Bollettino dell'Unione Matematica Italiana
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In this communication, I recall the main results [BDK1] in the classification of finite Lie pseudoalgebras, which generalize several previously known algebraic structures, and announce some new results [BDK2] concerning their representation theory.
Zuckerman functors for Lie superalgebras. (Foncteurs de Zuckerman pour les superalgèbres de Lie.)
de Sousa Oliveira Santos, José Carlos (1999)
Journal of Lie Theory
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Lie group extensions associated to projective modules of continuous inverse algebras
Karl-Hermann Neeb (2008)
Archivum Mathematicum
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We call a unital locally convex algebra a continuous inverse algebra if its unit group is open and inversion is a continuous map. For any smooth action of a, possibly infinite-dimensional, connected Lie group on a continuous inverse algebra by automorphisms and any finitely generated projective right -module , we construct a Lie group extension of by the group of automorphisms of the -module . This Lie group extension is a “non-commutative” version of the group of...
Bialgebra structures on a real semisimple Lie algebra.
Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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The derived Lie pseudoalgebra of an anchored module.
Popescu, Paul, Popescu, Marcela (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Cohomology of for classical complex Lie supergroups and characters of some atypical -modules
Ivan Penkov, Vera Serganova (1989)
Annales de l'institut Fourier
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We compute the unique nonzero cohomology group of a generic - linearized locally free -module, where is the identity component of a complex classical Lie supergroup and is an arbitrary parabolic subsupergroup. In particular we prove that for this cohomology group is an irreducible -module. As an application we generalize the character formula of typical irreducible -modules to a natural class of atypical modules arising in this way.