On the classification of subalgebras of \(\text{Cend}_N\) and \(\text{gc}_N\).
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Publication:1868744
DOI10.1016/S0021-8693(02)00632-4zbMath1034.17018MaRDI QIDQ1868744
Jose I. Liberati, Victor G. Kac, Carina Boyallian
Publication date: 28 April 2003
Published in: Journal of Algebra (Search for Journal in Brave)
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
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Cites Work
- Infinite conformal symmetry in two-dimensional quantum field theory
- Hermitian matrices over polynomial rings
- Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
- Structure theory of finite conformal algebras
- Cohomology of conformal algebras
- Conformal modules
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Unital associative pseudoalgebras and their representations
- Zeta values and differential operators on the circle
- Vertex algebras, Kac-Moody algebras, and the Monster
- Subalgebras of gcN and Jacobi Polynomials
- Associative conformal algebras of linear growth.
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