Quantum groupoids associated to universal dynamical R-matrices

Ping Xu

doi:10.1016/S0764-4442(99)80219-5

Quantum groupoids associated to universal dynamical R-matrices

Ping Xu

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

By using twist construction, we obtain a quantum groupoid D ⊗_q U_qg for any simple Lie algebra g. The underlying Hopf algebroid structure encodes all the information of the corresponding elliptic quantum group - the quasi-Hopf algebras as obtained by Fronsdal, Arnaudon et al. and Jimbo et al.

Original language	English (US)
Pages (from-to)	327-332
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	328
Issue number	4
DOIs	https://doi.org/10.1016/S0764-4442(99)80219-5
State	Published - Feb 1999

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0764-4442(99)80219-5

Cite this

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title = "Quantum groupoids associated to universal dynamical R-matrices",

abstract = "By using twist construction, we obtain a quantum groupoid D ⊗q Uqg for any simple Lie algebra g. The underlying Hopf algebroid structure encodes all the information of the corresponding elliptic quantum group - the quasi-Hopf algebras as obtained by Fronsdal, Arnaudon et al. and Jimbo et al.",

author = "Ping Xu",

year = "1999",

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doi = "10.1016/S0764-4442(99)80219-5",

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AB - By using twist construction, we obtain a quantum groupoid D ⊗q Uqg for any simple Lie algebra g. The underlying Hopf algebroid structure encodes all the information of the corresponding elliptic quantum group - the quasi-Hopf algebras as obtained by Fronsdal, Arnaudon et al. and Jimbo et al.

UR - https://www.scopus.com/pages/publications/16744363198

UR - https://www.scopus.com/pages/publications/16744363198#tab=citedBy

U2 - 10.1016/S0764-4442(99)80219-5

DO - 10.1016/S0764-4442(99)80219-5

M3 - Article

AN - SCOPUS:16744363198

SN - 0764-4442

VL - 328

SP - 327

EP - 332

JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 4

ER -

Quantum groupoids associated to universal dynamical R-matrices

Abstract

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