Projective modules over classical Lie algebras of infinite rank in the parabolic category

Chih Whi Chen, Ngau Lam

Research output: Contribution to journalArticlepeer-review

Abstract

We study the truncation functors and show the existence of projective cover with a finite Verma flag of each irreducible module in parabolic BGG category O over infinite rank Lie algebra of types a,b,c,d. Moreover, O is a Koszul category. As a consequence, the corresponding parabolic BGG category O‾ over infinite rank Lie superalgebra of types a,b,c,d through the super duality is also a Koszul category.

Original languageEnglish
Pages (from-to)125-148
Number of pages24
JournalJournal of Pure and Applied Algebra
Volume224
Issue number1
DOIs
Publication statusPublished - 2020 Jan

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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