Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials in one variable
From MaRDI portal
Publication:1592130
DOI10.1007/BF02551403zbMath1017.17029OpenAlexW1971173494WikidataQ115392072 ScholiaQ115392072MaRDI QIDQ1592130
Anatoly M. Vershik, Boris Shoikhet
Publication date: 15 January 2001
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02551403
Poisson bracketsinfinite-dimensional Lie algebrascontinuous limit\(\mathbb{Z}\)-graded Lie algebrascontinuous root system
Cites Work
- Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems)
- A generalization of Quillen's lemma and its application to the Weyl algebras
- Certain topics on the representation theory of the Lie algebra \(gl(\lambda)\)
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Quotients simples de l'algèbre enveloppante de \({\mathfrak sl}_2\)
- A Class of Algebras Similar to the Enveloping Algebra of sl(2)
- The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators
- On classification of ℤ-graded Lie algebras of constant growth which have algebra ℂ[h as Cartan subalgebra]
This page was built for publication: Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials in one variable
