2 results
Commuting Varieties for Nilpotent Radicals
- Part of
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 2 / May 2019
- Published online by Cambridge University Press:
- 03 December 2018, pp. 559-594
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On Commuting Varieties of Nilradicals of Borel Subalgebras of Reductive Lie Algebras
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 58 / Issue 1 / February 2015
- Published online by Cambridge University Press:
- 10 October 2014, pp. 169-181
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Let G be a connected reductive algebraic group defined over an algebraically closed field
of characteristic 0. We consider the commuting variety 
of the nilradical 
of the Lie algebra 
of a Borel subgroup B of G. In case B acts on with only a finite number of orbits, we verify that is equidimensional and that the irreducible components are in correspondence with the distinguishedB-orbits in . We observe that in general is not equidimensional, and determine the irreducible components of in the minimal cases where there are infinitely many B-orbits in .
of characteristic 0. We consider the commuting variety 
of the nilradical 
of the Lie algebra 
of a Borel subgroup 