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Integrating infinite-dimensional Lie algebras by a Tannaka reconstruction (Part II)
Claus Mokler
Let g be a Lie algebra over a field F of characteristic zero, let C be a certain tensor category of representations of g, and C-du a certain category of duals. In arXiv:math.AG/040…
Integrating infinite-dimensional Lie algebras by a Tannaka reconstruction (Part I)
Claus Mokler
Let g be a Lie algebra over a field F of characteristic zero, let C be a certain tensor category of representations of g, and C-du a certain category of duals. By a Tannaka reconst…
The F-valued points of the algebra of strongly regular functions of a Kac-Moody group
Claus Mokler
The algebra of strongly regular functions F[G_m] on a symmetrizable minimal Kac-Moody group G_m over a field F of characteristic zero has been introduced by V. Kac and D. Peterson…
An analogue of a reductive algebraic monoid, whose unit group is a Kac-Moody group
Claus Mokler
By a generalized Tannaka-Krein reconstruction we associate to the admissible representations of the category O of a Kac-Moody algebra, and its category of admissible duals a monoid…