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Representations of ...
Representations of Lie algebras of vector fields on affine varieties
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- Billig, Yuly (författare)
- Carleton University
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- Futorny, Vyacheslav (författare)
- Universidade de Sao Paulo (USP),University of Sao Paulo (USP)
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- Nilsson, Jonathan, 1986 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- 2019-07-26
- 2019
- Engelska.
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Ingår i: Israel Journal of Mathematics. - : Springer Science and Business Media LLC. - 1565-8511 .- 0021-2172. ; 233:1, s. 379-399
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Abstract
Ämnesord
Stäng
- For an irreducible affine variety X over an algebraically closed field of characteristic zero we define two new classes of modules over the Lie algebra of vector fields on X—gauge modules and Rudakov modules, which admit a compatible action of the algebra of functions. Gauge modules are generalizations of modules of tensor densities whose construction was inspired by non-abelian gauge theory. Rudakov modules are generalizations of a family of induced modules over the Lie algebra of derivations of a polynomial ring studied by Rudakov [23]. We prove general simplicity theorems for these two types of modules and establish a pairing between them.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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