Cover Image

Highest weight theory for minimal finite $W$-superalgebras and related Whittaker categories

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zeng, Yang, Shu, Bin
Format:	Preprint
Published:	2022
Subjects:	Representation Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Whittaker categories and the minimal nilpotent finite $W$-algebra for $\mathfrak{sl}_{n+1}$
by: Liu, Genqiang, et al.
Published: (2023)

Highest weight categories and stability conditions
by: Cipriani, Alessio, et al.
Published: (2024)

Highest weight modules over Borcherds-Bozec superalgebras and their character formula
by: Fan, Zhaobing, et al.
Published: (2024)

Highest weight theory for finite-dimensional graded algebras with triangular decomposition
by: Bellamy, Gwyn, et al.
Published: (2017)

On the one-dimensional representations of finite $W$-superalgebras for $\mathfrak{gl}_{M|N}$
by: Yang, Fanlei, et al.
Published: (2024)

Whittaker modules and representations of finite $W$-algebras of queer Lie superalgebras
by: Chen, Chih-Whi, et al.
Published: (2025)

Whittaker modules of central extensions of Takiff superalgebras and finite supersymmetric $W$-algebras
by: Chen, Chih-Whi, et al.
Published: (2024)

Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras
by: Chen, Chih-Whi, et al.
Published: (2022)

Super Vust theorem and Schur-Sergeev duality for principal finite $W$-superalgebras
by: Cheng, Changjie, et al.
Published: (2020)

Equivariant Satake category and Kostant-Whittaker reduction
by: Bezrukavnikov, Roman, et al.
Published: (2007)

Highest weight vectors of tensors
by: Amanov, Alimzhan, et al.
Published: (2025)

Highest weight crystals for Schur Q-functions
by: Marberg, Eric, et al.
Published: (2021)

The category of Whittaker modules over the Cartan Type Lie algebra $\bar{S}_2$
by: Zheng, Xiaoyao, et al.
Published: (2026)

Twisted Whittaker category on affine flags and the category of representations of the mixed quantum group
by: Yang, Ruotao
Published: (2021)

Representations of shifted super Yangians and finite $W$-superalgebras of type A
by: Lu, Kang, et al.
Published: (2026)

The Galois Alperin weight conjecture for finite category algebras
by: Huang, Xin
Published: (2026)

Super duality for Whittaker modules and finite $W$-algebras
by: Cheng, Shun-Jen, et al.
Published: (2024)

Whittaker Modules for W type Cartan Lie superalgebras
by: Futorny, Vyacheslav, et al.
Published: (2025)

A monoidal category viewpoint for translation functors for finite $W$-algebras
by: Masut, Elisabetta
Published: (2024)

Representations of categories of finite relational structures and associated endomorphism monoids
by: Li, Liping
Published: (2026)

On the Zassenhaus varieties of finite $W$-algebras in prime characteristic
by: Shu, Bin, et al.
Published: (2026)

Highest weight categories via pairs of dual exceptional sequences
by: Bodzenta, Agnieszka, et al.
Published: (2026)

The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic
by: Utiralova, Alexandra
Published: (2025)

Abelian envelopes of exact categories and highest weight categories
by: Bodzenta, Agnieszka, et al.
Published: (2020)

Whittaker coefficients of geometric Eisenstein series
by: Taylor, Jeremy
Published: (2022)

Highest weight modules with respect to non-standard Gelfand-Tsetlin subalgebras
by: Arias, Juan Camilo, et al.
Published: (2024)

$\mathcal{U}(\mathfrak{h})$-finite modules and weight modules I: weighting functors, almost-coherent families and category $\mathfrak{A}^{\text{irr}}$
by: Mendonça, Eduardo M.
Published: (2024)

The representation theory of Brauer categories I: triangular categories
by: Sam, Steven V, et al.
Published: (2020)

Affine Super Yangians and Rectangular $W$-superalgebras
by: Ueda, Mamoru
Published: (2020)

Simple character formulas for finite $W$-superalgebras of type $A$
by: Cheng, Shun-Jen, et al.
Published: (2026)

Unitarity of minimal $W$-algebras
by: Kac, Victor G., et al.
Published: (2020)

On the structure of graded Lie superalgebras
by: Calderón, Antonio J., et al.
Published: (2024)

Central extensions of restricted Lie superalgebras and classification of $p$-nilpotent Lie superalgebras in dimension $4$
by: Bouarroudj, Sofiane, et al.
Published: (2024)

Two proofs of a Jantzen Conjecture for Whittaker Modules
by: Eberhardt, Jens Niklas, et al.
Published: (2024)

Associated varieties of minimal highest weight modules
by: Bai, Zhanqiang, et al.
Published: (2019)

On the theory of $q$-characters for quantum affine superalgebras of type $A$
by: Lee, Sin-Myung
Published: (2025)

On localizing subcategories of Lie superalgebra representations
by: Hamil, Matthew H.
Published: (2025)

Category $\mathcal{O}$ for Lie superalgebras
by: Lai, Chun-Ju, et al.
Published: (2025)

On equivalence of the Mellin-Barnes and the Givental integral representations of the Whittaker functions
by: Gerasimov, A. A., et al.
Published: (2024)

A Construction of the Symmetric Monoidal Structure of the Geometric Whittaker Model
by: Choudhury, Ashutosh Roy, et al.
Published: (2024)