ASSOCIATIVE COMMUTATIVE REPRESENTATIONS OF EVOLUTION ALGEBRAS IN DIMENSION TWO

Prelegent(ci)

IVÁN RUIZ CAMPOS

Afiliacja

Universidad de Málaga, Spain

Język referatu

angielski

Termin

9 kwietnia 2025 17:15

Informacje na temat wydarzenia

ZOOM

Tytuł w języku polskim

ASSOCIATIVE COMMUTATIVE REPRESENTATIONS OF EVOLUTION ALGEBRAS IN DIMENSION TWO

Seminarium

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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