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YCor
YCor
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I would like to know if you have any reference where I can find the canonical PBW basis for $U_q(\mathfrak{g}_2),$ computed using the action of the Braidbraid group as defined by Luzstig.

Alternatively I would like to know if I should expect Luztig's root vectors to be given by some sort of q commutators$q$-commutators or linear combinations of q commutators$q$-commutators.

Thank you

I would like to know if you have any reference where I can find the canonical PBW basis for $U_q(\mathfrak{g}_2),$ computed using the action of the Braid group as defined by Luzstig.

Alternatively I would like to know if I should expect Luztig's root vectors to be given by some sort of q commutators or linear combinations of q commutators.

Thank you

I would like to know if you have any reference where I can find the canonical PBW basis for $U_q(\mathfrak{g}_2),$ computed using the action of the braid group as defined by Luzstig.

Alternatively I would like to know if I should expect Luztig's root vectors to be given by some sort of $q$-commutators or linear combinations of $q$-commutators.

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Ambrogio Brambilla
Ambrogio Brambilla
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PBW basis for the quantized enveloping Lie algebra of $\mathfrak{g}_2$

I would like to know if you have any reference where I can find the canonical PBW basis for $U_q(\mathfrak{g}_2),$ computed using the action of the Braid group as defined by Luzstig.

Alternatively I would like to know if I should expect Luztig's root vectors to be given by some sort of q commutators or linear combinations of q commutators.

Thank you