Pseudocompact Algebras and Highest Weight Categories

Frantisek Marko; Alexandr N. Zubkov

doi:10.1007/s10468-011-9326-y

Pseudocompact Algebras and Highest Weight Categories

Frantisek Marko, Alexandr N. Zubkov

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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 language	English
Pages (from-to)	689-728
Number of pages	40
Journal	Algebras and Representation Theory
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/s10468-011-9326-y
Publication status	Published - Jun 2013
Externally published	Yes

Keywords

Highest weight categories
Pseudocompact algebras

ASJC Scopus subject areas

General Mathematics

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10.1007/s10468-011-9326-y

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AB - 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).

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KW - Pseudocompact algebras

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Pseudocompact Algebras and Highest Weight Categories

Abstract

Keywords

ASJC Scopus subject areas

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