Timeline for Name for a Hopf algebra whose only grouplike element is the identity?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Aug 7, 2021 at 0:09 | history | edited | Konstantinos Kanakoglou | CC BY-SA 4.0 |
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| Aug 3, 2021 at 23:23 | history | edited | Konstantinos Kanakoglou | CC BY-SA 4.0 |
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| Aug 2, 2021 at 17:48 | comment | added | Spyros Olympopolous | Great, thanks for the explanation. | |
| Aug 1, 2021 at 21:21 | comment | added | Konstantinos Kanakoglou | It is true that during the first decades of the developments of the HA theory, the definitions were often assuming that we were talking about graded objects. This stems from the historical development of the topic and is still reflected in some modern references (especially those coming from the algebraic topology and the cohomology point of view). However, i think that most contemporary textbooks (i.e. those developed after the 80's), including Sweedler's textbook, have dropped this requirement and view graded HAs as a separate topic on its own. | |
| Aug 1, 2021 at 18:33 | history | edited | Konstantinos Kanakoglou | CC BY-SA 4.0 |
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| Aug 1, 2021 at 18:24 | comment | added | Konstantinos Kanakoglou | @Spyros, the notion of connected HA does not necessarily require the HA to be graded. I am on my phone right now and it is difficult to list references, but here is a quick one: arXiv:2004.11996 [math.RA] | |
| Aug 1, 2021 at 16:27 | vote | accept | Spyros Olympopolous | ||
| Aug 1, 2021 at 14:24 | comment | added | Spyros Olympopolous | I thought that connected required the existence of an algebra grading on the HA: encyclopediaofmath.org/wiki/Hopf_algebra | |
| Aug 1, 2021 at 2:40 | history | answered | Konstantinos Kanakoglou | CC BY-SA 4.0 |