2011Oberwolfach ReportsRequires access

Infinite Dimensional Lie Theory

Karl‐Hermann Neeb, Arturo Pianzola, Tudor Stefan Ratiu

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Abstract

The workshop focussed on recent developments in infinite-dimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinite-dimensional Lie algebras, geometry of infinite-dimensional Lie groups and homogeneous spaces and representations theory of infinite-dimensional Lie groups, Lie algebras and Lie-superalgebras.

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What this paper is about

The workshop focussed on recent developments in infinite-dimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinite-dimensional Lie algebras, geometry of infinite-dimensional Lie groups and homogeneous spaces and representations theory of infinite-dimensional Lie groups, Lie algebras and Lie-superalgebras.

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Available abstract

The workshop focussed on recent developments in infinite-dimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinite-dimensional Lie algebras, geometry of infinite-dimensional Lie groups and homogeneous spaces and representations theory of infinite-dimensional Lie groups, Lie algebras and Lie-superalgebras.

Key concepts: Lie theory, Mathematics, Fundamental representation, Representation of a Lie group, Simple Lie group, Pure mathematics, Adjoint representation of a Lie algebra, Representation theory

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