Integrals for Hopf algebras
Preferred learners
- Edmonton, Alberta, Canada
- Academic experience or paid work
Categories
Skills
Project scope
- What is the main goal for this project?
-
In the pure algebraix setting, it is known that there exists a non-unital Hopf algebra which does not admit an integral. The project we are proposing is to extend this example to the case of Hopf C*-algebra. The main difficulty is to deal with the setting of norm topology.
- What tasks will learners need to complete to achieve the project goal?
-
The student will read the pertinent literature that exists on Hopf algebras as well as Hopf C*-algebras. The main task is to understand the setting of an integral in the Hopf C*-algebra setting. Then we will try to adopt the example of pure Hopf algebra without an integral to the C*-algebra setting.
- What is the main goal for this project?
-
In the pure algebraix setting, it is known that there exists a non-unital Hopf algebra which does not admit an integral. The project we are proposing is to extend this example to the case of Hopf C*-algebra. The main difficulty is to deal with the setting of norm topology.
- What tasks will learners need to complete to achieve the project goal?
-
The student will read the pertinent literature that exists on Hopf algebras as well as Hopf C*-algebras. The main task is to understand the setting of an integral in the Hopf C*-algebra setting. Then we will try to adopt the example of pure Hopf algebra without an integral to the C*-algebra setting.
- How will you support learners in completing the project?
-
I will meet the student every week for one or two sessions. Also communication via email will be used. I will help with the introduction to Hopf algebras, integrals, Hppf C*-algebras. Relevant textbooks and papers will be made available.
About the company
- https://www.macewan.ca/academics/academic-departments/mathematics-statistics/
- 0 - 1 employees
- Education
The Department of Mathematics and Statistics provides a vibrant and supportive home base for students who want to study mathematics and statistics. Our growing department is home to excellent scholars and has a deep commitment to student success, whether taking math as a requirement or as a pursuit of passion. Our faculty members are dedicated to providing an education that emphasizes the knowledge and broad analytical skills that are valuable in today’s world.
Beyond the classroom, our department organizes Torus Talks, a regular presentation series where faculty and students share insights into the uses and versatility of mathematics and statistics, and a Math Help Centre, where students can access additional support in mastering their course work.
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