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yohei ohta's user avatar
yohei ohta's user avatar
yohei ohta
  • Member for 10 years, 8 months
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awarded
 Promoter
asked
Does a dual basis for $U_h(\mathfrak{sl}_2(\mathbb{C}))$ exist?
awarded
 Yearling
comment
Reconstruction of a Poisson-Lie group structure from a Lie bialgebra $\mathfrak{g}$
@Adrien Your explanation was very clear. Thank you very much!
asked
Reconstruction of a Poisson-Lie group structure from a Lie bialgebra $\mathfrak{g}$
comment
Explicit correspondence between classical double and quantum double
Thank you very much. I will take the time to read the references you mentioned.
accepted
Explicit correspondence between classical double and quantum double
asked
Explicit correspondence between classical double and quantum double
comment
Is there an explicit description of a gauge transformation $F$ such that $U_{\hbar}(\mathfrak{g})$ and $(U(\mathfrak{g})[[\hbar]])_F$ are isomorphic?
Thank you ! I followed your advice and rewrote the question.
revised
Is there an explicit description of a gauge transformation $F$ such that $U_{\hbar}(\mathfrak{g})$ and $(U(\mathfrak{g})[[\hbar]])_F$ are isomorphic?
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revised
Is there an explicit description of a gauge transformation $F$ such that $U_{\hbar}(\mathfrak{g})$ and $(U(\mathfrak{g})[[\hbar]])_F$ are isomorphic?
deleted 11 characters in body
awarded
 Curious
asked
Is there an explicit description of a gauge transformation $F$ such that $U_{\hbar}(\mathfrak{g})$ and $(U(\mathfrak{g})[[\hbar]])_F$ are isomorphic?
revised
Is there a definition of Heisenberg double for quasi-Hopf algebras?
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comment
Concrete examples of quantum duality principle
Thank you for your reply. I was using $\mathcal{C}_h(G^*)$ in the sense of the quantization of $\mathcal{C}(G^*)$, but then $\mathcal{C}(G^*)=U_h(\mathfrak{g})$, so my question makes no sense! The example you gave looks very concrete and good. I would like to understand the relation between the Drinfeld double and the Heisenberg double of the Poisson Lie group and the Drinfeld double and the Heisenberg double of the Hopf algebra through concrete examples. I will try to write down these relations with your examples.
awarded
 Editor
revised
Concrete examples of quantum duality principle
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asked
Concrete examples of quantum duality principle
revised
The dual of elements $E$, $F$, and $H$ of $U_h(\mathfrak{sl}_2)$ corresponds to which element of $F_h(\mathrm{SL}_2)$ by isomorphism?
edited tags
asked
The dual of elements $E$, $F$, and $H$ of $U_h(\mathfrak{sl}_2)$ corresponds to which element of $F_h(\mathrm{SL}_2)$ by isomorphism?
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