# Projective modules over classical Lie algebras of infinite rank in the parabolic category

@article{Chen2018ProjectiveMO, title={Projective modules over classical Lie algebras of infinite rank in the parabolic category}, author={Chih-Whi Chen and Ngau Lam}, journal={Journal of Pure and Applied Algebra}, year={2018} }

## 4 Citations

### GRADED SUPER DUALITY FOR GENERAL LINEAR LIE SUPERALGEBRAS

- MathematicsTransformation Groups
- 2019

We provide a new proof of the super duality equivalence between infinite-rank parabolic BGG categories of general linear Lie (super) algebras conjectured by Cheng and Wang and first proved by Cheng…

### GRADED SUPER DUALITY FOR GENERAL LINEAR LIE SUPERALGEBRAS

- MathematicsTransformation Groups
- 2019

We provide a new proof of the super duality equivalence between infinite-rank parabolic BGG categories of general linear Lie (super) algebras conjectured by Cheng and Wang and first proved by Cheng…

### On an Infinite Limit of BGG Categories O

- MathematicsMoscow Mathematical Journal
- 2019

We study a version of the BGG category O for Dynkin Borel subalgebras of root-reductive Lie algebras, such as g=gl(infinity). We prove results about extension fullness and compute the higher…

### Representation Theory of a Semisimple Extension of the Takiff Superalgebra

- Mathematics
- 2020

We study a semisimple extension of a Takiff superalgebra which turns out to have a remarkably rich representation theory. We determine the blocks in both the finite-dimensional and BGG module…

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### GRADED SUPER DUALITY FOR GENERAL LINEAR LIE SUPERALGEBRAS

- MathematicsTransformation Groups
- 2019

We provide a new proof of the super duality equivalence between infinite-rank parabolic BGG categories of general linear Lie (super) algebras conjectured by Cheng and Wang and first proved by Cheng…

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We prove that thick category $\mathcal{O}$ associated to a semi-simple complex finite dimensional Lie algebra is extension full in the category of all modules. We also prove the weak Alexandru…

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We develop a new method to solve the irreducible character problem for a wide class of modules over the general linear superalgebra, including all the finite-dimensional modules, by directly relating…

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The u-homology formulas for unitarizable modules at negative levels over classical Lie algebras of infinite rank of types gl(n), sp(2n) and so(2n) are obtained. As a consequence, we recover the…

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We give a new proof of the "super Kazhdan-Lusztig conjecture" for the Lie super algebra $\mathfrak{gl}_{n|m}(\mathbb{C})$ as formulated originally by the first author. We also prove for the first…