ASSOCIATIVE COMMUTATIVE REPRESENTATIONS OF EVOLUTION ALGEBRAS IN DIMENSION TWO

Speaker(s)

IVÁN RUIZ CAMPOS

Affiliation

Universidad de Málaga, Spain

Language of the talk

English

Date

April 9, 2025, 5:15 p.m.

Information about the event

ZOOM

Title in Polish

ASSOCIATIVE COMMUTATIVE REPRESENTATIONS OF EVOLUTION ALGEBRAS IN DIMENSION TWO

Seminar

North Atlantic Noncommutative Geometry Seminar

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In this talk, we study the faithful associative commutative (unitary) representations of evolution algebras of dimension two. This analysis involves the computation of the (tight) p−algebra associated with any 2-dimensional evolution algebra, whenever it exists. In this way, we establish a connection between evolution algebras of dimension two and Hopf algebras via the algebraic group of automorphisms of an evolution algebra. Furthermore, if an evolution algebra is perfect and has a faithful tight p-algebra, then this p-algebra is isomorphic to the Hopf algebra associated with the evolution algebra.

 

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