Napredna pretraga

Pregled bibliografske jedinice broj: 741235

Compatible pairs of Borel subalgebras and shared orbit pairs


Širola, Boris
Compatible pairs of Borel subalgebras and shared orbit pairs // Journal of algebra, 423 (2015), 726-766 doi:10.1016/j.jalgebra.2014.10.035 (međunarodna recenzija, članak, znanstveni)


Naslov
Compatible pairs of Borel subalgebras and shared orbit pairs

Autori
Širola, Boris

Izvornik
Journal of algebra (0021-8693) 423 (2015); 726-766

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

Ključne riječi
Semisimple Lie algebra; Cartan subalgebra; root; root system; Borel subalgebra; pair of Lie algebras; shared orbit pair; nilpotent element; nilpotent orbit

Sažetak
Consider a class of pairs (g, g_1), where g is a semisimple Lie algebra and g_1 is a subalgebra reductive in g, satisfying the following: For any Cartan subalgebra h_1 in g_1 there is a unique Cartan subalgebra h in g containing h_1. Given such a pair (g, g_1) and a Borel subalgebra b_1 in g_1 we study a (finite) set S_{; ; ; Bor}; ; ; ^g(b_1) of all Borel subalgebras b in g containing b_1. In particular we point at the subclass of pairs (g, g_1) when S_{; ; ; Bor}; ; ; ^g(b_1) is a singleton, for every Borel subalgebra b_1 in g_1. As a consequence, for such pairs we relate the corresponding flag varieties B(g) and B(g_1). As an interesting class of pairs (g, g_1), for which we can apply our results on pairs of Borel subalgebras, we study in detail the pairs considered by R. Brylinski and B. Kostant related to shared orbit pairs.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372781-2811 - Omotačke algebre Liejevih algebri i njihovi moduli (Boris Širola, )
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (Dražen Adamović, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Boris Širola, (160983)

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


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati