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Pregled bibliografske jedinice broj: 1063449

BGG complexes in singular blocks of category O

Mazorchuk, Volodymyr; Mrđen, Rafael
BGG complexes in singular blocks of category O // Journal of pure and applied algebra, 224 (2020), 12; 106449, 26 doi:10.1016/j.jpaa.2020.106449 (međunarodna recenzija, članak, znanstveni)

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Naslov
BGG complexes in singular blocks of category O

Autori
Mazorchuk, Volodymyr ; Mrđen, Rafael

Izvornik
Journal of pure and applied algebra (0022-4049) 224 (2020), 12; 106449, 26

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Category O ; BGG complexes ; Kazhdan-Lusztig polynomials ; Balanced quasi-hereditary algebras ; S-subcategories in O

Sažetak
Using translation from the regular block, we construct and analyze properties of BGG complexes in singular blocks of BGG category O. We provide criteria, in terms of the Kazhdan-Lusztig-Vogan polynomials, for such complexes to be exact. In the Koszul dual picture, exactness of BGG complexes is expressed as a certain condition on a generalized Verma flag of an indecomposable projective object in the corresponding block of parabolic category O. In the second part of the paper, we construct BGG complexes in a more general setting of balanced quasi- hereditary algebras and show how our results for singular blocks can be used to construct BGG resolutions of simple modules in S-subcategories in O.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)

Ustanove:
Građevinski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Rafael Mrđen (autor)

Poveznice na cjeloviti tekst rada:

doi arxiv.org www.sciencedirect.com

Citiraj ovu publikaciju:

Mazorchuk, Volodymyr; Mrđen, Rafael
BGG complexes in singular blocks of category O // Journal of pure and applied algebra, 224 (2020), 12; 106449, 26 doi:10.1016/j.jpaa.2020.106449 (međunarodna recenzija, članak, znanstveni)
Mazorchuk, V. & Mrđen, R. (2020) BGG complexes in singular blocks of category O. Journal of pure and applied algebra, 224 (12), 106449, 26 doi:10.1016/j.jpaa.2020.106449.
@article{article, author = {Mazorchuk, Volodymyr and Mr\djen, Rafael}, year = {2020}, pages = {26}, DOI = {10.1016/j.jpaa.2020.106449}, chapter = {106449}, keywords = {Category O, BGG complexes, Kazhdan-Lusztig polynomials, Balanced quasi-hereditary algebras, S-subcategories in O}, journal = {Journal of pure and applied algebra}, doi = {10.1016/j.jpaa.2020.106449}, volume = {224}, number = {12}, issn = {0022-4049}, title = {BGG complexes in singular blocks of category O}, keyword = {Category O, BGG complexes, Kazhdan-Lusztig polynomials, Balanced quasi-hereditary algebras, S-subcategories in O}, chapternumber = {106449} }
@article{article, author = {Mazorchuk, Volodymyr and Mr\djen, Rafael}, year = {2020}, pages = {26}, DOI = {10.1016/j.jpaa.2020.106449}, chapter = {106449}, keywords = {Category O, BGG complexes, Kazhdan-Lusztig polynomials, Balanced quasi-hereditary algebras, S-subcategories in O}, journal = {Journal of pure and applied algebra}, doi = {10.1016/j.jpaa.2020.106449}, volume = {224}, number = {12}, issn = {0022-4049}, title = {BGG complexes in singular blocks of category O}, keyword = {Category O, BGG complexes, Kazhdan-Lusztig polynomials, Balanced quasi-hereditary algebras, S-subcategories in O}, chapternumber = {106449} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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