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Pregled bibliografske jedinice broj: 1053760

Singular BGG complexes for the symplectic case


Mrđen, Rafael
Singular BGG complexes for the symplectic case // Mathematical communications, 25 (2020), 1; 13-34 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1053760 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Singular BGG complexes for the symplectic case

Autori
Mrđen, Rafael

Izvornik
Mathematical communications (1331-0623) 25 (2020), 1; 13-34

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

Ključne riječi
Bernstein-Gelfand-Gelfand (BGG) complexes ; singular infinitesimal character ; invariant differential operators ; Lagrangian Grassmannian ; Penrose transform

Sažetak
Using the Penrose transform, we construct analogues of the BGG (Bernstein-Gelfand-Gelfand) resolutions in certain singular infinitesimal characters in the holomorphic geometric setting over the Lagrangian Grassmannian. We prove the exactness of the constructed complex over the big affine cell.

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)
HRZZ 4176

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

Profili:

Avatar Url Rafael Mrđen (autor)

Poveznice na cjeloviti tekst rada:

www.mathos.unios.hr arxiv.org

Citiraj ovu publikaciju:

Mrđen, Rafael
Singular BGG complexes for the symplectic case // Mathematical communications, 25 (2020), 1; 13-34 (međunarodna recenzija, članak, znanstveni)
Mrđen, R. (2020) Singular BGG complexes for the symplectic case. Mathematical communications, 25 (1), 13-34.
@article{article, author = {Mr\djen, Rafael}, year = {2020}, pages = {13-34}, keywords = {Bernstein-Gelfand-Gelfand (BGG) complexes, singular infinitesimal character, invariant differential operators, Lagrangian Grassmannian, Penrose transform}, journal = {Mathematical communications}, volume = {25}, number = {1}, issn = {1331-0623}, title = {Singular BGG complexes for the symplectic case}, keyword = {Bernstein-Gelfand-Gelfand (BGG) complexes, singular infinitesimal character, invariant differential operators, Lagrangian Grassmannian, Penrose transform} }
@article{article, author = {Mr\djen, Rafael}, year = {2020}, pages = {13-34}, keywords = {Bernstein-Gelfand-Gelfand (BGG) complexes, singular infinitesimal character, invariant differential operators, Lagrangian Grassmannian, Penrose transform}, journal = {Mathematical communications}, volume = {25}, number = {1}, issn = {1331-0623}, title = {Singular BGG complexes for the symplectic case}, keyword = {Bernstein-Gelfand-Gelfand (BGG) complexes, singular infinitesimal character, invariant differential operators, Lagrangian Grassmannian, Penrose transform} }

Časopis indeksira:


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





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