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Mapping class group...
Mapping class group representations from Drinfeld doubles of finite groups
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- Fjelstad, Jens, 1971- (författare)
- Uppsala universitet,Örebro universitet,Institutionen för naturvetenskap och teknik,Department of Mathematics, Uppsala University, Uppsala, Sweden,Uppsala Universitet ;Örebro Universitet,Matematiska institutionen
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- Fuchs, Jürgen, 1957- (författare)
- Karlstads universitet,Institutionen för ingenjörsvetenskap och fysik (from 2013)
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(creator_code:org_t)
- World Scientific Publishing Co. Pte Ltd, 2020
- 2020
- Engelska.
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Ingår i: Journal of knot theory and its ramifications. - : World Scientific Publishing Co. Pte Ltd. - 0218-2165. ; 29:5
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- We investigate representations of mapping class groups of surfaces that arise from the untwisted Drinfeld double of a finite group G, focusing on surfaces without marked points or with one marked point. We obtain concrete descriptions of such representations in terms of finite group data. This allows us to establish various properties of these representations. In particular we show that they have finite images, and that for surfaces of genus at least 3 their restriction to the Torelli group is non-trivial iff G is non-abelian.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- Quantum representation
- mapping class group
- Drinfeld double
- Physics
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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