Pseudocompact Algebras and Highest Weight Categories

Frantisek Marko, Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We develop a new approach to highest weight categories C with good (and cogood) posets of weights via pseudocompact algebras by introducing ascending (and descending) quasi-hereditary pseudocompact algebras. For C admitting a Chevalley duality, we define and investigate tilting modules and Ringel duals of the corresponding pseudocompact algebras. Finally, we illustrate all these concepts on an explicit example of the general linear supergroup GL(1|1).

Original languageEnglish (US)
Pages (from-to)689-728
Number of pages40
JournalAlgebras and Representation Theory
Volume16
Issue number3
DOIs
StatePublished - Jun 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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