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Lie bialgebras, fie...
Lie bialgebras, fields of cohomological dimension at most 2 and Hilbert's Seventeenth Problem
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- Alsaody, Seidon, 1986 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,Matematiska vetenskaper, Göteborgs universitet och Chalmers tekniska högskola
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- Stolin, Alexander, 1953 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg,Matematiska vetenskaper, Göteborgs universitet och Chalmers tekniska högskola
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(creator_code:org_t)
- Elsevier BV, 2017
- 2017
- Engelska.
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Ingår i: Journal of Algebra. - : Elsevier BV. - 0021-8693 .- 1090-266X. ; 476, s. 368-394
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Abstract
Ämnesord
Stäng
- © 2016 Elsevier Inc.We investigate Lie bialgebra structures on simple Lie algebras of non-split type A. It turns out that there are several classes of such Lie bialgebra structures, and it is possible to classify some of them. The classification is obtained using Belavin–Drinfeld cohomology sets, which are introduced in the paper. Our description is particularly detailed over fields of cohomological dimension at most two, and is related to quaternion algebras and the Brauer group. We then extend the results to certain rational function fields over real closed fields via Pfister's theory of quadratic forms and his solution to Hilbert's Seventeenth Problem.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Belavin–Drinfeld cohomology
- Brauer group
- Compact type
- Lie bialgebra
- Pfister form
- Quantum group
- Quaternions
- Lie bialgebra
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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