This work concerns the moment map μ associated with the standard representation of a classical Lie algebra. For applications to deformation quantization it is desirable that S/ (μ) , the coordinate algebra of the zero fibre of μ, be Koszul. The main result is that this algebra is not Koszul for the standard representation of sln, and of spn. This is deduced from a computation of the Betti numbers of S/ (μ) as an S-module, which are of interest also from the point of view of commutative algebra.
Titolo: | Koszul properties of the moment map of some classical representations |
Autori: | |
Data di pubblicazione: | 2018 |
Rivista: | |
Handle: | http://hdl.handle.net/11567/917547 |
Appare nelle tipologie: | 01.01 - Articolo su rivista |
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(2018) Conca Herbig Iyengar Koszul Properties Of The Moment Map.pdf | Documento in versione editoriale | Administrator Richiedi una copia |
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