Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras

Juan Camilo Arias, Vyacheslav Futorny, Kailash C. Misra

Research output: Contribution to journalResearch Articlepeer-review

Abstract

We consider reduced imaginary Verma modules for the untwisted quantum affine algebras Uq(gˆ) and define a crystal-like base which we call imaginary crystal base using the Kashiwara algebra Kq constructed in earlier work by Ben Cox and two of the authors. We prove the existence of the imaginary crystal base for any object in a suitable category Ored,imq containing the reduced imaginary Verma modules for Uq(gˆ).

Original languageEnglish (US)
Pages (from-to)3-28
Number of pages26
JournalJournal of Algebra
Volume655
DOIs
StatePublished - Oct 1 2024
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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