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Deformations of symplectic singularities...

Losev, Ivan...

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Deformations of symplectic singularities and Orbit method for semisimple Lie algebras by Losev, Ivan ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	We classify filtered quantizations of conical symplectic singularities and use this to show that all filtered quantizations of symplectic quotient singularities are spherical Symplectic reflection algebras of Etingof and Ginzburg. We further apply our classification and a classification of filtered Poisson deformations obtained by Namikawa to establish a version of the Orbit method for semisimple Lie algebras. Namely, we produce a natural map from the set of adjoint orbits in a semisimple Lie algebra to the set of primitive ideals in the universal enveloping algebra. We show that the map is injective for classical Lie algebras.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1605.00592

Citation

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AMA 11th EditionReferences

Losev, Ivan. Deformations of symplectic singularities and Orbit method for semisimple Lie algebras. Australian National University. August 08, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/13059

APA 7th EditionReferences

Losev, Ivan. (2023). Deformations of symplectic singularities and Orbit method for semisimple Lie algebras. Australian National University. https://online.provdatabase.com/cite/13059

Chicago 17th EditionReferences

Losev, Ivan. Deformations of symplectic singularities and Orbit method for semisimple Lie algebras. Australian National University. 2023. https://online.provdatabase.com/cite/13059

HarvardReferences

Losev, Ivan. (2023). Deformations of symplectic singularities and Orbit method for semisimple Lie algebras. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13059. (Accessed 02 October 2025).

Harvard AustraliaReferences

Losev, Ivan, 2023, Deformations of symplectic singularities and Orbit method for semisimple Lie algebras, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/13059>

MLA 9th EditionWorks Cited

Losev, Ivan. Deformations of symplectic singularities and Orbit method for semisimple Lie algebras. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13059.

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