Seminar za algebru, ZCI QuantiXLie

lokacija: 
PMF Matematički odsjek (virtualno)
vrijeme: 
05.04.2022 - 18:15 - 20:00

utorak, 5. travnja u okviru Seminara za algebru

Gaywalee Yamskulna, Illinois State University, održat će predavanje 

On ℕ-graded vertex algebras associated with vertex algebroids that are cyclic Leibniz algebras.

Sažetak:

For an -graded vertex algebra V=⊕n=0^{∞}Vn such that dim V0≥ 2, it is known that V0 is a unital commutative associative algebra, and V1 is a Leibniz algebra. Compatibility relations on the algebraic structure of the vertex algebra V yield a beautiful structure on V0⊕ V1 which we call a vertex V0-algebroid V1. It was shown by Gorbounov, Malikov, and Schechtman that for a given vertex A-algebroid B, one can construct an -graded vertex algebra V=⊕n=0^{∞}Vn such that V0=A and the vertex A-algebroid V1 is isomorphic to B. All the constructed -graded vertex algebras are generated by V0⊕ V1 with a spanning property of PBW type. The vertex algebra associated with a βγ system is an example of such -graded vertex algebra.  

The  graded vertex algebras associated with vertex algebroids are natural and important to study. However, a classification of such -graded vertex algebras and their modules are far from being completed. In this talk, I will discuss our investigation into representation theory of vertex algebras associated with vertex algebroids that are cyclic Leibniz algebras.  

This talk is based on joint work with C. Barnes, E. Martin, G. Seelinger, and J. Service.  

Seminar počinje u 18:15 sati s prijenosom preko Zoom-a. Pozivaju se članovi Seminara i svi zainteresirani da prisustvuju ovom zanimljivom predavanju. 

Podaci za Zoom:
Topic: Seminar za algebru-Gail
Time: Apr 5, 2022 06:00 PM Sarajevo, Skopje, Zagreb

Join Zoom Meeting
https://us02web.zoom.us/j/88497596862?pwd=SXdCVnJRY1h6WE9MK0YwVVFPZnRJdz09

Meeting ID: 884 9759 6862

Veronika Pedić Tomić

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