Kostant’s problem for parabolic Verma modules

Abstract We give a complete combinatorial classification of the parabolic Verma modules in the principal block of the parabolic category $\mathcal{O}$ associated with a minimal or a maximal parabolic subalgebra of the special linear Lie algebra for which the answer to Kostant’s problem is positive.

Authors

Institutions

Publication Details

Journal
Proceedings of the Edinburgh Mathematical Society
Published
2025-01-27
DOI
https://doi.org/10.1017/s0013091524000506
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Kostant’s problem for parabolic Verma modules

Volodymyr Mazorchuk, Shraddha Srivastava
Proceedings of the Edinburgh Mathematical Society
Algebraic structures and combinatorial models
article

Kostant’s problem for parabolic Verma modules

Volodymyr Mazorchuk, Shraddha Srivastava
article en

Abstract

Abstract We give a complete combinatorial classification of the parabolic Verma modules in the principal block of the parabolic category $\mathcal{O}$ associated with a minimal or a maximal parabolic subalgebra of the special linear Lie algebra for which the answer to Kostant’s problem is positive.

Proceedings of the Edinburgh Mathematical SocietyVol. 68(2)
Uppsala University (SE), Indian Institute of Technology Dharwad (IN)
Openalex Percentile: Top 97%
Algebraic structures and combinatorial models
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.