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Pregled bibliografske jedinice broj: 1199997

From Hopf Algebra to Braided L∞-Algebra


Grewcoe, Clay James; Jonke, Larisa; Kodžoman, Toni; Manolakos, George
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

Profili:

Avatar Url Toni Kodžoman (autor)

Avatar Url Clay James Grewcoe (autor)

Avatar Url Larisa Jonke (autor)

Poveznice na cjeloviti tekst rada:

doi www.mdpi.com www.mdpi.com arxiv.org fulir.irb.hr

Citiraj ovu publikaciju:

Grewcoe, Clay James; Jonke, Larisa; Kodžoman, Toni; Manolakos, George
From Hopf Algebra to Braided L∞-Algebra // Universe, 8 (2022), 4; 222, 11 doi:10.3390/universe8040222 (međunarodna recenzija, članak, znanstveni)
Grewcoe, C., Jonke, L., Kodžoman, T. & Manolakos, G. (2022) From Hopf Algebra to Braided L∞-Algebra. Universe, 8 (4), 222, 11 doi:10.3390/universe8040222.
@article{article, author = {Grewcoe, Clay James and Jonke, Larisa and Kod\v{z}oman, Toni and Manolakos, George}, year = {2022}, pages = {11}, DOI = {10.3390/universe8040222}, chapter = {222}, keywords = {Hopf algebra, L\_infinity algebra}, journal = {Universe}, doi = {10.3390/universe8040222}, volume = {8}, number = {4}, issn = {2218-1997}, title = {From Hopf Algebra to Braided L∞-Algebra}, keyword = {Hopf algebra, L\_infinity algebra}, chapternumber = {222} }
@article{article, author = {Grewcoe, Clay James and Jonke, Larisa and Kod\v{z}oman, Toni and Manolakos, George}, year = {2022}, pages = {11}, DOI = {10.3390/universe8040222}, chapter = {222}, keywords = {Hopf algebra, L\_infinity algebra}, journal = {Universe}, doi = {10.3390/universe8040222}, volume = {8}, number = {4}, issn = {2218-1997}, title = {From Hopf Algebra to Braided L∞-Algebra}, keyword = {Hopf algebra, L\_infinity algebra}, chapternumber = {222} }

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


Citati:





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