Timeline for Annulator of Tensor Power in a Quantum Group
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| May 26, 2011 at 21:58 | comment | added | Theo Johnson-Freyd | Annihilator. Annulator?!? | |
| May 26, 2011 at 9:33 | comment | added | X--- | Theo Johnson-Freyd: You are right.Thank you.And the same to Bugs Bunny... | |
| May 26, 2011 at 6:23 | history | edited | Bugs Bunny | CC BY-SA 3.0 |
ENglish+conditions on g
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| May 26, 2011 at 6:21 | comment | added | Bugs Bunny | There are easy counterexamples if $g$ is not simple or $U_q (g)$ is not of adjont type. I will edit to add these conditions as well. | |
| May 26, 2011 at 6:02 | history | edited | Bugs Bunny | CC BY-SA 3.0 |
deleted 1 characters in body; edited tags; edited title
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| May 26, 2011 at 4:22 | comment | added | Theo Johnson-Freyd | Incidentally, all of your questions so far have had titles of the form "A simple question about ---". This is not a great titling convention for MO. MathOverflow titles can be quite long, and there's no reason not to include a short version of your question in the title. Your questions would also be improved with more background and motivation: what do you know, why do you want to know what you don't know. Please be sure to read mathoverflow.net/howtoask , and maybe also spend some more time reading MO for a sense of the style of the best questions. | |
| May 26, 2011 at 4:18 | comment | added | Theo Johnson-Freyd | I believe your question is the following. You have a Hopf algebra $H$, which in your case is a very specific Hopf algebra over the field of rational functions in a variable $q$ over characteristic $0$. You have an $H$-module $V$; then you can form the tensor algebra $T(V) = \bigoplus V^{\otimes \bullet}$ in the category of $H$-modules. You have a non-zero element $x \in H$, and ask if $x$ necessarily acts nontrivially on $T(V)$. In general, the answer is obviously "no", but your question is if it happens to be "yes" for the specific case of quantum groups. Is this right? | |
| May 26, 2011 at 4:05 | comment | added | Mariano Suárez-Álvarez | What do you mean by "a tensor product module"? | |
| May 26, 2011 at 2:45 | history | asked | X--- | CC BY-SA 3.0 |