On a universal solution to the reflection equation

  • J. Donin
  • , P. P. Kulish
  • , A. I. Mudrov

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

For a given quasi-triangular Hopf algebra H, we study relations between the braided group H̃* and Drinfeld's twist. We show that the braided bialgebra structure of H̃* is naturally described by means of twisted tensor powers of H and their module algebras. We introduce a universal solution to the reflection equation (RE) and deduce a fusion prescription for RE-matrices.

Original languageEnglish
Pages (from-to)179-194
Number of pages16
JournalLetters in Mathematical Physics
Volume63
Issue number3
DOIs
StatePublished - Mar 2003

Bibliographical note

Funding Information:
?This research is partially supported by the Israel Academy of Sciences grant No. 8007/99-01 and by

Funding Information:
the RFBR grant No. 02-01-00085.

Funding

?This research is partially supported by the Israel Academy of Sciences grant No. 8007/99-01 and by the RFBR grant No. 02-01-00085.

FundersFunder number
Academy of Leisure Sciences8007/99-01
Russian Foundation for Basic Research02-01-00085

    Keywords

    • fusion procedure
    • reflection equation
    • twist

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