AbstractWe consider loop algebras over the basic classical Lie superalgebras, and central extensions thereof, and determine the full set of unitarizable highest weight modules. This is essentially equivalent to what is promised in the title. We allow the Borel subalgebra and the involution to be completely general except for a natural compatibility condition
AbstractLet B be the universal central extension of a graded Lie algebra of Block type. In this pape...
For a linear semisimple Lie group we obtain a necessary and sufficient condition for a highest weigh...
A. Dzhumadil’daev classified all irreducible finite dimensional repre-sentations of the simple n-Lie...
AbstractWe consider loop algebras over the basic classical Lie superalgebras, and central extensions...
AbstractLet g be a finite dimensional complex simple Lie algebra and ĝ the associated affine Lie alg...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
Abstract. In this short note we announce three formulas for the set of weights of various classes of...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
AbstractRepresentations of inductive limits of finite-dimensional Lie groups and algebras am our mai...
Let g be a simple finite-dimensional Lie algebra, and g ̂ the associated affine Lie al-gebra. LetV (...
AbstractWe define regular Kac–Moody superalgebras and classify them using integrable modules. We giv...
AbstractLet g be a finite dimensional complex simple Lie algebra and ĝ the associated affine Lie alg...
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie ...
AbstractLet B be the universal central extension of a graded Lie algebra of Block type. In this pape...
For a linear semisimple Lie group we obtain a necessary and sufficient condition for a highest weigh...
A. Dzhumadil’daev classified all irreducible finite dimensional repre-sentations of the simple n-Lie...
AbstractWe consider loop algebras over the basic classical Lie superalgebras, and central extensions...
AbstractLet g be a finite dimensional complex simple Lie algebra and ĝ the associated affine Lie alg...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
Abstract. In this short note we announce three formulas for the set of weights of various classes of...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
AbstractRepresentations of inductive limits of finite-dimensional Lie groups and algebras am our mai...
Let g be a simple finite-dimensional Lie algebra, and g ̂ the associated affine Lie al-gebra. LetV (...
AbstractWe define regular Kac–Moody superalgebras and classify them using integrable modules. We giv...
AbstractLet g be a finite dimensional complex simple Lie algebra and ĝ the associated affine Lie alg...
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie ...
AbstractLet B be the universal central extension of a graded Lie algebra of Block type. In this pape...
For a linear semisimple Lie group we obtain a necessary and sufficient condition for a highest weigh...
A. Dzhumadil’daev classified all irreducible finite dimensional repre-sentations of the simple n-Lie...
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