September 6, 2024
4:30 pm
-
5:30 pm
Math Tower (MW) 154
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2024-09-06 16:30:00
2024-09-06 17:30:00
Reps Seminar - Doyun Koo
Doyun KooThe Ohio State UniversityTitleR-matrix on Yangians and Abelianization MethodAbstractThe study for finding solutions to the Yang-Baxter equation, which is called R-matrix, has been decades. Yangians are one of the parameter-dependent Hopf algebras for solving non-constant solutions of the Yang-Baxter equation. In this talk, I will explain the properties of R-matrix in 2-tensor space Y_\hbar(\mathfrak{g})\otimes Y_\hbar(\mathfrak{g}) and its action on Yangian representation, mostly focused when \mathfrak{g}=\sl_2. Also, we will discuss the Abelianization method, which is an idea to decompose R-matrix nicely, and how to construct each component. For More Information About the Seminar
Math Tower (MW) 154
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America/New_York
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Date Range
2024-09-06 16:30:00
2024-09-06 17:30:00
Reps Seminar - Doyun Koo
Doyun KooThe Ohio State UniversityTitleR-matrix on Yangians and Abelianization MethodAbstractThe study for finding solutions to the Yang-Baxter equation, which is called R-matrix, has been decades. Yangians are one of the parameter-dependent Hopf algebras for solving non-constant solutions of the Yang-Baxter equation. In this talk, I will explain the properties of R-matrix in 2-tensor space Y_\hbar(\mathfrak{g})\otimes Y_\hbar(\mathfrak{g}) and its action on Yangian representation, mostly focused when \mathfrak{g}=\sl_2. Also, we will discuss the Abelianization method, which is an idea to decompose R-matrix nicely, and how to construct each component. For More Information About the Seminar
Math Tower (MW) 154
America/New_York
public
Doyun Koo
The Ohio State University
Title
R-matrix on Yangians and Abelianization Method
Abstract
The study for finding solutions to the Yang-Baxter equation, which is called R-matrix, has been decades. Yangians are one of the parameter-dependent Hopf algebras for solving non-constant solutions of the Yang-Baxter equation. In this talk, I will explain the properties of R-matrix in 2-tensor space Y_\hbar(\mathfrak{g})\otimes Y_\hbar(\mathfrak{g}) and its action on Yangian representation, mostly focused when \mathfrak{g}=\sl_2. Also, we will discuss the Abelianization method, which is an idea to decompose R-matrix nicely, and how to construct each component.
