On a universal solution to the reflection equation

J. Donin; P. P. Kulish; A. I. Mudrov

doi:10.1023/A:1024438101617

On a universal solution to the reflection equation

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

Department of Mathematics

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

38 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 language	English
Pages (from-to)	179-194
Number of pages	16
Journal	Letters in Mathematical Physics
Volume	63
Issue number	3
DOIs	https://doi.org/10.1023/A:1024438101617
State	Published - 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.

Keywords

fusion procedure
reflection equation
twist

Access to Document

10.1023/A:1024438101617

Cite this

@article{cb18458c53c1434a8ce5db2fbebfaa7d,

title = "On a universal solution to the reflection equation",

abstract = "For a given quasi-triangular Hopf algebra H, we study relations between the braided group {\~H}* and Drinfeld's twist. We show that the braided bialgebra structure of {\~H}* 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.",

keywords = "fusion procedure, reflection equation, twist",

author = "J. Donin and Kulish, {P. P.} and Mudrov, {A. I.}",

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.",

year = "2003",

month = mar,

doi = "10.1023/A:1024438101617",

language = "אנגלית",

volume = "63",

pages = "179--194",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - On a universal solution to the reflection equation

AU - Donin, J.

AU - Kulish, P. P.

AU - Mudrov, A. I.

N1 - 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.

PY - 2003/3

Y1 - 2003/3

N2 - 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.

AB - 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.

KW - fusion procedure

KW - reflection equation

KW - twist

UR - http://www.scopus.com/inward/record.url?scp=2442648579&partnerID=8YFLogxK

U2 - 10.1023/A:1024438101617

DO - 10.1023/A:1024438101617

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:2442648579

SN - 0377-9017

VL - 63

SP - 179

EP - 194

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

On a universal solution to the reflection equation

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this