Integrals for Hopf algebras
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Data scienceSkills
algebraIn 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.
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.
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.
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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.
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