What question did this study set out to answer?

The aim is to explore the representation theory of Lie algebras in the context of quantized conical symplectic resolutions.

August 19, 2012Open Access

Quantizations of conical symplectic resolutions I: local and global structure

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Authors

TBTom BradenHarvard University NPNicholas ProudfootUniversity of Oregon BWBen WebsterNortheastern University

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Implication

The investigation demonstrates relationships in Lie algebra representation theory and quantized symplectic resolutions, indicating new algebra possibilities.

Key Points

The aim is to explore the representation theory of Lie algebras in the context of quantized conical symplectic resolutions.
Re-examine classical concepts in representation theory and Springer theory.
Apply results to various quantized symplectic resolutions such as quiver varieties.
Establish relationships between Harish-Chandra bimodules and convolution operators on cohomology.
Developed a version of the Beilinson-Bernstein localization theorem.
Demonstrated discrete group actions on the derived category of representations.
Generalized known results about Lie algebras to a broader framework, revealing potential for new algebras.

Cite This Study

Braden et al. (2012) studied this question.

synapsesocial.com/papers/6a220f72a9754429c0e216ec https://doi.org/10.48550/arxiv.1208.3863

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Implication

The investigation demonstrates relationships in Lie algebra representation theory and quantized symplectic resolutions, indicating new algebra possibilities.

Quantizations of conical symplectic resolutions I: local and global structure

Discussion

Member takes

Implication

Key Points

Cite This Study

Quantizations of conical symplectic resolutions I: local and global structure

Discussion

Member takes

Implication

Key Points

Cite This Study

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