Quadratic conformal superalgebras
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Publication:1584601
DOI10.1006/jabr.1999.8346zbMath1001.17024arXivmath/9911219OpenAlexW1977151155MaRDI QIDQ1584601
Publication date: 14 June 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9911219
Infinite-dimensional Lie (super)algebras (17B65) Poisson algebras (17B63) Leibniz algebras (17A32) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complete left-invariant affine structures on nilpotent Lie groups
- Superconformal current algebras and their unitary representations
- On simple Novikov algebras and their irreducible modules
- A Lie algebra structure in a formal variational calculation
- Skew-symmetric differential operators and combinatorial identities
- Infinite dimensional Novikov algebras of characteristic \(O\)
- Novikov-Poisson algebras
- A new \(N=6\) superconformal algebra
- Superconformal algebras and transitive group actions on quadrics
- Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations
- Hamiltonian operators and associative algebras with a derivation
- Generalizations of the Block algebras
- Variational calculus of supervariables and related algebraic structures
- On Torsion-Free Abelian Groups and Lie Algebras
- Supersymmetric extension of the Korteweg–de Vries equation
- Simple novikov algebras with an idempotent
- ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
- Modules over novikov algebras of characteristic 0
- Hamiltonian superoperators
- Lie superalgebras
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