Universal central extensions of elliptic affine Lie algebras
DOI10.1063/1.530700zbMath0839.17017OpenAlexW2100591101MaRDI QIDQ4837155
Publication date: 4 July 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530700
hyperelliptic curvesKähler differentialscocyclesPollaczek polynomialsKrichever-Novikov algebrasuniversal central extensionuntwisted affine Kac-Moody algebraelliptic curve with punctures at two pointsKassel's theorem
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Elliptic curves (14H52) Differentials on Riemann surfaces (30F30)
Related Items (18)
Cites Work
- Krichever-Novikov algebras for more than two points
- Extended affine Lie algebras and their vertex representations
- Elliptic affine Lie algebras
- Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
- Krichever-Novikov algebras for more than two points: explicit generators
- Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points
- Toroidal Lie algebras and vertex representations
- Universal central extensions of Chevalley algebras over Laurent polynomial rings and GIM Lie algebras
- Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
- The arithmetic theory of loop groups
- Highest weight modules over certain quasigraded Lie algebras on elliptic curves
- On a Lie algebra of vector fields on a complex torus
- Toroidal groups1
- Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable
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