Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 583-626 |
| Number of pages | 44 |
| Journal | Proceedings of the London Mathematical Society |
| Volume | 113 |
| Issue number | 5 |
| Early online date | 27 Sep 2016 |
| DOIs | |
| Publication status | Published - Nov 2016 |
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Keywords
- D–module
- W–algebra
- quantum group
Cite this
Localization of quantum biequivariant Ɗ-modules and q–W algebras. / Sevastyanov, A.
In: Proceedings of the London Mathematical Society, Vol. 113, No. 5, 11.2016, p. 583-626.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Localization of quantum biequivariant Ɗ-modules and q–W algebras
AU - Sevastyanov, A.
N1 - The author is grateful to Y. Kremnizer for useful discussions and to the referee for careful reading of the manuscript.
PY - 2016/11
Y1 - 2016/11
N2 - We present a biequivariant version of Kremnizer–Tanisaki localization theorem for quantum DD-modules. We also obtain an equivalence between a category of finitely generated equivariant modules over a quantum group and a category of finitely generated modules over a q–W algebra which can be regarded as an equivariant quantum group version of Skryabin equivalence. The biequivariant localization theorem for quantum DD-modules together with the equivariant quantum group version of Skryabin equivalence yield an equivalence between a certain category of quantum biequivariant DD-modules and a category of finitely generated modules over a q–W algebra.
AB - We present a biequivariant version of Kremnizer–Tanisaki localization theorem for quantum DD-modules. We also obtain an equivalence between a category of finitely generated equivariant modules over a quantum group and a category of finitely generated modules over a q–W algebra which can be regarded as an equivariant quantum group version of Skryabin equivalence. The biequivariant localization theorem for quantum DD-modules together with the equivariant quantum group version of Skryabin equivalence yield an equivalence between a certain category of quantum biequivariant DD-modules and a category of finitely generated modules over a q–W algebra.
KW - D–module
KW - W–algebra
KW - quantum group
U2 - 10.1112/plms/pdw041
DO - 10.1112/plms/pdw041
M3 - Article
VL - 113
SP - 583
EP - 626
JO - Proceedings of the London Mathematical Society
JF - Proceedings of the London Mathematical Society
SN - 0024-6115
IS - 5
ER -