From Hopf Algebra to Braided L∞-Algebra

Grewcoe, Clay James; Jonke, Larisa; Kodžoman, Toni; Manolakos, George (2022) From Hopf Algebra to Braided L∞-Algebra. Universe, 8 (4). ISSN 2218-1997

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Hopf algebra ; L_infinity algebra
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Simetrije u kvantnoj gravitaciji Jonke, Larisa IP-2019-04-4168 HRZZ
Depositing User:	Larisa Jonke
Date Deposited:	29 Jun 2022 13:19
URI:	http://fulir.irb.hr/id/eprint/7437
DOI:	10.3390/universe8040222

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