Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 741244

Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras


Širola, Boris
Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras // Journal of algebra, 423 (2015), 636-682 doi:10.1016/j.jalgebra.2014.10.036 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 741244 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras

Autori
Širola, Boris

Izvornik
Journal of algebra (0021-8693) 423 (2015); 636-682

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; Kostant pair; normalizer; self-normalizing subalgebra; nilpotent element; distinguished nilpotent element; nilpotent orbit

Sažetak
A pair of Lie algebras (g, g_1) will be called a Kostant pair if g is semisimple, g_1 is reductive in g and the restriction of the Killing form B_g to g_1 is nondegenerate. We study the class of such (nonsymmetric) pairs and obtain some useful and new structural results. We study the structure of the normalizers N_g(g_1), and as a consequence we obtain some corresponding worthy results about algebraic groups. In particular we consider an interesting case when g_1 is a distinguished sl_2-subalgebra of g. Conmbined with the research due to V. L. Popov we observe that the notions of self-normalizing (reductive) subalgebras of a semisimple Lie algebra and projective self-dual algebraic subvarieties of the usual nilpotent cones are closely related.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037-0372781-2811 - Omotačke algebre Liejevih algebri i njihovi moduli (Širola, Boris, MZOS ) ( CroRIS)
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Boris Širola (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com dx.doi.org

Citiraj ovu publikaciju:

Širola, Boris
Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras // Journal of algebra, 423 (2015), 636-682 doi:10.1016/j.jalgebra.2014.10.036 (međunarodna recenzija, članak, znanstveni)
Širola, B. (2015) Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras. Journal of algebra, 423, 636-682 doi:10.1016/j.jalgebra.2014.10.036.
@article{article, author = {\v{S}irola, Boris}, year = {2015}, pages = {636-682}, DOI = {10.1016/j.jalgebra.2014.10.036}, keywords = {semisimple Lie algebra, Cartan subalgebra, root, root system, Borel subalgebra, pair of Lie algebras, Kostant pair, normalizer, self-normalizing subalgebra, nilpotent element, distinguished nilpotent element, nilpotent orbit}, journal = {Journal of algebra}, doi = {10.1016/j.jalgebra.2014.10.036}, volume = {423}, issn = {0021-8693}, title = {Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras}, keyword = {semisimple Lie algebra, Cartan subalgebra, root, root system, Borel subalgebra, pair of Lie algebras, Kostant pair, normalizer, self-normalizing subalgebra, nilpotent element, distinguished nilpotent element, nilpotent orbit} }
@article{article, author = {\v{S}irola, Boris}, year = {2015}, pages = {636-682}, DOI = {10.1016/j.jalgebra.2014.10.036}, keywords = {semisimple Lie algebra, Cartan subalgebra, root, root system, Borel subalgebra, pair of Lie algebras, Kostant pair, normalizer, self-normalizing subalgebra, nilpotent element, distinguished nilpotent element, nilpotent orbit}, journal = {Journal of algebra}, doi = {10.1016/j.jalgebra.2014.10.036}, volume = {423}, issn = {0021-8693}, title = {Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras}, keyword = {semisimple Lie algebra, Cartan subalgebra, root, root system, Borel subalgebra, pair of Lie algebras, Kostant pair, normalizer, self-normalizing subalgebra, nilpotent element, distinguished nilpotent element, nilpotent orbit} }

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:





    Contrast
    Increase Font
    Decrease Font
    Dyslexic Font