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math-ph2003
On the unitarization of highest weight representations for affine Kac-Moody algebras
J. Garcia-Escudero, M. Lorente
In a recent paper ([1],[2]) we have classified explicitely all the unitary highest weight representations of non compact real forms of semisimple Lie Algebras on Hermitian symmetri…
math-ph2003
Highest weight unitary modules for non-compact groups and applications to physical problems
J. Garcia-Escudero, M. Lorente
The study of unitarization of representations for non compact real forms of simple Lie Algebras has been achieved in the past decade by Jakobsen (JA81, JA83) and by Enright, Howe a…
math-ph2003
Classification of unitary highest weight representations for non compact real forms
J. Garcia-Escudero, M. Lorente
Using Jakobsen theorems, unitarizability in Hermitian Symmetric Spaces is discussed. The set of all missing highest weights is explicitly calculated and the construction of their c…