Root components for tensor product of affine Kac-Moody Lie algebra modules

DOI10.1090/ert/617zbMath1493.14076arXiv2106.11225OpenAlexW3174038086WikidataQ114094336 ScholiaQ114094336MaRDI QIDQ5096472

Shrawan Kumar, Samuel Jeralds

Publication date: 17 August 2022

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11225

zbMATH Keywords

Schubert varietiesVirasoro algebrapartial flag varietiesaffine Kac-Moody Lie algebraintegrable highest weight modulesroot componentshigher cohomology vanishing

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Grassmannians, Schubert varieties, flag manifolds (14M15) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Kac-Moody groups (20G44)

Cites Work

• A study of saturated tensor cone for symmetrizable Kac-Moody algebras
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Gaussian maps and tensor products of irreducible representations
• Global crystal bases of quantum groups
• Kac-Moody groups, their flag varieties and representation theory
• Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
• Proof of Wahl's Conjecture on Surjectivity of the Gaussian Map for Flag Varieties
• A Formula For the Multiplicity of a Weight
• On the De Rham cohomology of algebraic varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Root components for tensor product of affine Kac-Moody Lie algebra modules