Pregled bibliografske jedinice broj: 1199997
From Hopf Algebra to Braided L∞-Algebra
From Hopf Algebra to Braided L∞-Algebra // Universe, 8 (2022), 4; 222, 11 doi:10.3390/universe8040222 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1199997 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
From Hopf Algebra to Braided L∞-Algebra
Autori
Grewcoe, Clay James ; Jonke, Larisa ; Kodžoman, Toni ; Manolakos, George
Izvornik
Universe (2218-1997) 8
(2022), 4;
222, 11
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hopf algebra ; L_infinity algebra
Sažetak
We show that an L∞-algebra can be extended to a graded Hopf algebra with a codifferential. Then, we twist this extended L∞-algebra with a Drinfel’d twist, simultaneously twisting its modules. Taking the L∞-algebra as its own (Hopf) module, we obtain the recently proposed braided L∞-algebra. The Hopf algebra morphisms are identified with the strict L∞-morphisms, whereas the braided L∞-morphisms define a more general L∞-action of twisted L∞-algebras.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
POVEZANOST RADA
Projekti:
HRZZ-IP-2019-04-4168 - Simetrije u kvantnoj gravitaciji (SYMM4QG) (Jonke, Larisa, HRZZ - 2019-04) ( CroRIS)
Ustanove:
Institut "Ruđer Bošković", Zagreb
Citiraj ovu publikaciju:
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