Timeline for Why did people originally like Frobenius algebras?
Current License: CC BY-SA 2.5
9 events
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| Jul 17, 2010 at 16:58 | comment | added | Aleks Kissinger | C & R looks like exactly the thing I've been looking for! Thanks for the input guys. | |
| Jul 17, 2010 at 16:56 | vote | accept | Aleks Kissinger | ||
| Jul 17, 2010 at 2:09 | comment | added | Victor Protsak | Curtis and Reiner is a comprehensive reference, in spite of its age. For a more recent if less detailed introduction, see Drozd and Kirichenko, Finite-dimensional algebras. | |
| Jul 16, 2010 at 18:58 | answer | added | Jack Schmidt | timeline score: 11 | |
| Jul 16, 2010 at 17:15 | history | edited | Yemon Choi | CC BY-SA 2.5 |
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| Jul 16, 2010 at 17:04 | history | edited | Jim Humphreys | CC BY-SA 2.5 |
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| Jul 16, 2010 at 17:04 | comment | added | Jim Humphreys | The notion of "Frobenius algebra" has evolved a lot, toward for example Frobenius objects in monoidal categories. The early notion arose when people started to explore group algebras of finite groups and more generally finite dimensional or artinian algebras with similar properties. Not a central issue at first. Then a basic result of Larson-Sweedler (every finite dimensional Hopf algebra is Frobenius) led further into Hopf algebras. Related duality ideas arose in geometric/topological settings. No single source is adequate now, but the books by Curtis-Reiner go beyond Nakayama. | |
| Jul 16, 2010 at 16:52 | comment | added | Bruce Westbury | Because group algebras are Frobenius algebras? | |
| Jul 16, 2010 at 15:51 | history | asked | Aleks Kissinger | CC BY-SA 2.5 |