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

Penn State Hazleton

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

10 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 language	English (US)
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
State	Published - Jun 2013

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s10468-011-9326-y

Cite this

@article{00f84ab8dc1443179ce2c24508636b0c,

title = "Pseudocompact Algebras and Highest Weight Categories",

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).",

author = "Frantisek Marko and Zubkov, {Alexandr N.}",

year = "2013",

month = jun,

doi = "10.1007/s10468-011-9326-y",

language = "English (US)",

volume = "16",

pages = "689--728",

journal = "Algebras and Representation Theory",

issn = "1386-923X",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Pseudocompact Algebras and Highest Weight Categories

AU - Marko, Frantisek

AU - Zubkov, Alexandr N.

PY - 2013/6

Y1 - 2013/6

N2 - 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).

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).

UR - http://www.scopus.com/inward/record.url?scp=84877707902&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84877707902&partnerID=8YFLogxK

U2 - 10.1007/s10468-011-9326-y

DO - 10.1007/s10468-011-9326-y

M3 - Article

AN - SCOPUS:84877707902

SN - 1386-923X

VL - 16

SP - 689

EP - 728

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 3

ER -

Pseudocompact Algebras and Highest Weight Categories

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this