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The category of reduced imaginary Verma modules

Research output: Chapter in Book/InformConference contribution

Abstract

For an arbitrary affine Lie algebra we study an analog of the category O for the natural Borel subalgebra and zero central charge. We show that such category is semisimple and it has the reduced imaginary Verma modules as its simple objects. This generalizes a similar result of Cox, Futorny and Misra obtained in the case of affine sl2 Lie algebra.

Original languageEnglish (US)
Title of host publicationModern Algebra Volume 1
Subtitle of host publicationRepresentation Theory - XIVth Ukraine Algebraic Conference, 2023
EditorsO. Bezushchak, Yu Drozd, P. Etingof, V. Futorny, R. Grigorchuk, E. Zelmanov
PublisherAmerican Mathematical Society
Pages15-23
Number of pages9
ISBN (Print)9781470476199
DOIs
StatePublished - 2025
Externally publishedYes
Event14th Ukraine Algebra Conference, 2023 - Virtual, Online
Duration: Jul 3 2023Jul 7 2023

Publication series

NameContemporary Mathematics
Volume829
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

Conference14th Ukraine Algebra Conference, 2023
CityVirtual, Online
Period7/3/237/7/23

All Science Journal Classification (ASJC) codes

  • General Mathematics

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