Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/41963
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dc.contributor.authorLunts, Valery-
dc.contributor.authorSPENKO, Spela-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2023-12-18T12:52:11Z-
dc.date.available2023-12-18T12:52:11Z-
dc.date.issued2024-
dc.date.submitted2023-12-15T13:02:35Z-
dc.identifier.citationJOURNAL OF ALGEBRA, 639 , p. 440 -463-
dc.identifier.urihttp://hdl.handle.net/1942/41963-
dc.description.abstractWe give a brief review of the cohomological Hall algebra CoHA 71 and the K-theoretical Hall algebra KHA 7Z associated to quivers. In the case of symmetric quivers, we show that there exists a homomorphism of algebras (obtained from a Chern character map) 7Z -+ 71 sigma similar to where 71 sigma similar to is a Zhang twist of the completion of 71. Moreover, we establish the equivalence of categories of "locally finite" graded modules 71- Modlf ⠄ 7ZQ- Modlf. Examples of locally finite 71-, resp. 7ZQ-modules-
dc.description.sponsorshipBasic Research Program of the National Research University Higher School-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.rights2023 Elsevier Inc. All rights reserved.-
dc.subject.otherQuiver representations-
dc.subject.otherCohomological Hall algebra-
dc.subject.otherK-theory-
dc.subject.otherChern character-
dc.titleOn cohomological and K-theoretical Hall algebras of symmetric quivers-
dc.typeJournal Contribution-
dc.identifier.epage463-
dc.identifier.spage440-
dc.identifier.volume639-
local.format.pages24-
local.bibliographicCitation.jcatA1-
dc.description.notesSpenko, S (corresponding author), Univ Libre Bruxelles, Dept Math, Campus Plaine,CP 213,Bld Triomphe, B-1050 Brussels, Belgium.-
dc.description.notesvlunts@indiana.edu; spela.spenko@ulb.be; michel.vandenbergh@uhasselt.be-
local.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.jalgebra.2023.09.019-
dc.identifier.isi001110992800001-
local.provider.typewosris-
local.description.affiliation[Lunts, Valery] Indiana Univ, Dept Math, Rawles Hall 251,831 East 3rd St, Bloomington, IN 47405 USA.-
local.description.affiliation[Lunts, Valery] Natl Res Univ Higher Sch Econ, Moscow, Russia.-
local.description.affiliation[Spenko, Spela] Univ Libre Bruxelles, Dept Math, Campus Plaine,CP 213,Bld Triomphe, B-1050 Brussels, Belgium.-
local.description.affiliation[Van den Bergh, Michel] Univ Hasselt, Vakgroep Wiskunde, Univ Campus, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Van den Bergh, Michel] Vrije Univ Brussel, Dept Math & Data Sci, Pl Laan 2, B-1050 Brussels, Belgium.-
local.uhasselt.internationalyes-
item.fulltextWith Fulltext-
item.accessRightsEmbargoed Access-
item.contributorLunts, Valery-
item.contributorSPENKO, Spela-
item.contributorVAN DEN BERGH, Michel-
item.fullcitationLunts, Valery; SPENKO, Spela & VAN DEN BERGH, Michel (2024) On cohomological and K-theoretical Hall algebras of symmetric quivers. In: JOURNAL OF ALGEBRA, 639 , p. 440 -463.-
item.embargoEndDate2024-07-31-
crisitem.journal.issn0021-8693-
crisitem.journal.eissn1090-266X-
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