Some homological properties of category <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">O</mml:mi></mml:math>, VII

We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category O associated to a semi-simple finite dimensional complex Lie algebra. Each such object comes with a natural transformation from the Serre functor to a shifted identity whose evaluation at that object is an isomorphism.

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Publication Details

Journal
Advances in Mathematics
Published
2025-03-12
DOI
https://doi.org/10.1016/j.aim.2025.110201
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Some homological properties of category <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">O</mml:mi></mml:math>, VII

Volodymyr Mazorchuk
Advances in Mathematics
Algebraic structures and combinatorial models
article

Some homological properties of category <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">O</mml:mi></mml:math>, VII

Volodymyr Mazorchuk
article en

Abstract

We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category O associated to a semi-simple finite dimensional complex Lie algebra. Each such object comes with a natural transformation from the Serre functor to a shifted identity whose evaluation at that object is an isomorphism.

Advances in MathematicsVol. 468
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Quality Education
Openalex Percentile: Top 91%
Algebraic structures and combinatorial models
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Some homological properties of category <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">O</mml:mi></mml:math>, VII — Volodymyr Mazorchuk · Advances in Mathematics (2025) | TGRS Research Map | TGRS