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2004•Birkhäuser Boston eBooksRequires access

Nilpotent Orbits in Representation Theory

Jens Carsten Jantzen

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Abstract

The term “nilpotent orbits” in the title is an abbreviation for “orbits consisting of nilpotent elements.” We shall consider here such orbits only for the adjoint action of a reductive algebraic group on its Lie algebra. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

About this research paper

What this paper is about

The term “nilpotent orbits” in the title is an abbreviation for “orbits consisting of nilpotent elements.” We shall consider here such orbits only for the adjoint action of a reductive algebraic group on its Lie algebra. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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OpenAlex reports 293 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The term “nilpotent orbits” in the title is an abbreviation for “orbits consisting of nilpotent elements.” We shall consider here such orbits only for the adjoint action of a reductive algebraic group on its Lie algebra. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Nilpotent, Mathematics, Representation theory, Nilpotent group, Pure mathematics, Lie algebra, Adjoint representation, Algebra over a field

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