[GAP Forum] Quantum Serre Relations

Isaac Oppong isaac.oppong at aims.ac.rw
Thu Sep 24 10:22:25 BST 2020


Dear Willem,

Thank you very much for your reply. I think you have answered my question.
I needed it in the free associative algebra instead, when the rank of g is
relatively large. I will try by hand and verify the result in GAP.

Thanks,

Isaac.






On Thu, 24 Sep 2020 at 10:04, Willem Adriaan De Graaf <
willem.degraaf at unitn.it> wrote:

> Dear Isaac,
>
> Thank you for your question. But I don't quite understand what you need:
> in U_q^+(g) the quantum Serre relations are satisfied, so if you evaluate
> them in that algebra you get 0.
> If you need them as expressions in the free associative algebra then you
> cannot use QuaGroup,
> but they are easily written down by hand.
> But perhaps you need something else, please let me know.
>
> All the best,
>
> Willem
>
>
>
>
> On Wed, 23 Sep 2020 at 15:46, Isaac Oppong <isaac.oppong at aims.ac.rw>
> wrote:
>
>> Dear All,
>>
>> Please how can I use Quagroup in GAP to compute the quantum Serre
>> relations
>> for U_q^+(g)?
>>
>> Thanks,
>>
>> Isaac.
>>
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