Cover Image

On the classification of unitary highest weight modules in the exceptional cases

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pandžić, Pavle, Prlić, Ana, Savin, Gordan, Souček, Vladimír, Tuček, Vít
Format:	Preprint
Published:	2024
Subjects:	Representation Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the classification of unitary highest weight modules
by: Pandžić, Pavle, et al.
Published: (2023)

Dirac inequality for highest weight Harish-Chandra modules II
by: Pandžić, Pavle, et al.
Published: (2022)

Dirac inequality for highest weight Harish-Chandra modules I
by: Pandžić, Pavle, et al.
Published: (2022)

Unitary highest weight modules for $\mathfrak{su}(p, q)$ and $\mathfrak{so}^{*}(2n)$ with fixed integral infinitesimal character
by: Pandžić, Pavle, et al.
Published: (2026)

A characterization of the unitary highest weight modules by Euclidean Jordan algebras
by: Bai, Zhanqiang
Published: (2012)

Multiplicity free Weil representations arising from exceptional groups
by: Hanzer, Marcela, et al.
Published: (2024)

Braided coproduct, antipode and adjoint action for $U_q(sl_2)$
by: Pandžić, Pavle, et al.
Published: (2024)

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

Howe duality for the dual pair $SL_2(\mathbb R) \times F_{4,1}$: a ping-pong of $K$-types
by: Savin, Gordan
Published: (2025)

On the cells and associated varieties of highest weight Harish-Chandra modules
by: Bai, Zhanqiang, et al.
Published: (2019)

On the annihilator variety of a highest weight module for classical Lie algebras
by: Bai, Zhanqiang, et al.
Published: (2023)

A characterization of socular highest weight modules and Richardson orbits of classical types
by: Bai, Zhanqiang, et al.
Published: (2023)

Cubic Dirac operator for $U_q(\mathfrak{sl}_2)$
by: Krutov, Andrey, et al.
Published: (2022)

On the annihilator variety of a highest weight Harish-Chandra module
by: Bai, Zhanqiang, et al.
Published: (2024)

Faithfulness of highest-weight modules for Iwasawa algebras in type D
by: Mann, Stephen
Published: (2024)

Exceptional dual pair correspondences; case of real groups of split rank one
by: Bakic, Petar, et al.
Published: (2025)

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
by: Bai, Zhanqiang, et al.
Published: (2025)

A complex for the Dirac operator in several variables in dimension $4$
by: Krump, Lukáš, et al.
Published: (2024)

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

Monoidal Ringel duality and monoidal highest weight envelopes
by: Flake, Johannes, et al.
Published: (2025)

A combinatorial interpretation of the Bernstein degree of unitary highest weight modules
by: Erickson, William Q., et al.
Published: (2024)

Lusztig sheaves and integrable highest weight modules in symmetrizable cases
by: Lan, Yixin, et al.
Published: (2024)

Clifford algebras and Littlewood-Richardson coefficients
by: Calvert, Kieran, et al.
Published: (2024)

Peter-Weyl theorem for Iwahori groups and highest weight categories
by: Feigin, Evgeny, et al.
Published: (2023)

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

A characterization of unitarity of some highest weight Harish-Chandra modules
by: Bai, Zhanqiang, et al.
Published: (2024)

Lusztig sheaves and integrable highest weight modules
by: Fang, Jiepeng, et al.
Published: (2023)

Geometric quantization and unitary highest weight Harish-Chandra supermodules
by: Chuah, Meng-Kiat, et al.
Published: (2024)

On the associated variety of a highest weight Harish-Chandra module
by: Bai, Zhanqiang, et al.
Published: (2024)

Lusztig sheaves and tensor products of integrable highest weight modules
by: Fang, Jiepeng, et al.
Published: (2023)

Unitarity of highest weight Harish-Chandra modules and smoothness of Schubert varieties
by: Bai, Zhanqiang, et al.
Published: (2025)

Generalized Verma modules over sl(m+1) induced from simple highest weight modules
by: Xue, Yaohui, et al.
Published: (2025)

Canonical bases of tensor products of integrable highest weight modules arising from framed constructions
by: Fang, Jiepeng, et al.
Published: (2025)

Associated varieties of integral minimal highest weight modules
by: Bai, Zhanqiang, et al.
Published: (2026)

Clifford algebra analogue of Cartan's theorem for symmetric pairs
by: Calvert, Kieran, et al.
Published: (2025)

Transitivity of mutation of $τ$-exceptional sequences in the $τ$-tilting finite case
by: Buan, Aslak B., et al.
Published: (2025)

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

Change of weights operations for triangulated $(φ,Γ)$-modules
by: Wang, Zichuan
Published: (2025)

Construction of simple quotients of Bernstein-Zelevinsky derivatives and highest derivative multisegments II: Minimal sequences
by: Chan, Kei Yuen
Published: (2026)

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