2013 Fiscal Year Final Research Report
Theory and applications of Hopf monads
| Project/Area Number |
22740015
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Kyushu University |
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Principal Investigator |
PASTRO Craig 九州大学, 基幹教育院, 准教授 (50532561)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | Hopf algebra / Star autonomous comonad / Concurrent semantics / Hopf invariants |
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| Research Abstract |
I worked on Hopf comonads and star-autonomous comonads and their applications. First I settled the relationship between these two objects. Second, with R. Cockett, we generalized star-autonomous comonads to what we have called complementing comonads and developed the theory of these. Also, we applied this theory to develop a model of concurrent process semantics using for parallel computing. In the final year, but not yet finished, I have been working on extending invariants of Hopf algebras to Hopf monads. These can be used to obtain quantum invariants of links and knots.
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