Classification of quasifinite modules over the Lie algebras of Weyl type.

DOI10.1016/S0001-8708(02)00051-8zbMath1091.17004arXivmath/0304033MaRDI QIDQ1869021

Yucai Su

Publication date: 9 April 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304033

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (30)

Representations of nongraded Lie algebras of Block type ⋮ Quasifinite representations of a family of Lie algebras of Block type ⋮ Classification of irreducible non-zero level quasifinite modules over twisted affine Nappi-Witten algebra ⋮ Quasifinite representations of a Lie algebra of Block type ⋮ Deformations of Lie algebras using \(\sigma\)-derivations ⋮ Representations of the affine-Virasoro algebra of type \(A_1\) ⋮ Classification of quasifinite \({\mathcal W}_{\infty}\)-modules ⋮ Quantization of Lie Algebras of Generalized Weyl Type ⋮ $\mathcal{W}(a,b)$ Lie Conformal Algebra and Its Conformal Module of Rank One ⋮ Generalized Verma modules over some block algebras ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type ⋮ Quasifinite representations of a class of Block type Lie algebras \(\mathcal B(q)\) ⋮ Representations of the associated Lie conformal algebra of the \(\mathcal{W}_{1 + \infty}\) algebra and beyond ⋮ Verma Modules over a Block Lie Algebra ⋮ Classification of quasifinite representations of a Lie algebra related to Block type ⋮ Jet modules for the centerless Virasoro-like algebra ⋮ On classification of quasifinite representations of two classes of Lie superalgebras of block type ⋮ Indecomposable modules of the intermediate series over \(\mathcal W(a, b)\) ⋮ 2-Cocycles of the Lie Superalgebras of Weyl Type ⋮ Highest weight representations of a family of Lie algebras of Block type ⋮ Representations of the Quantized Weyl Algebra Associated to the Quantum Plane ⋮ Irreducible Quasi-Finite Representations of a Block Type Lie Algebra ⋮ Representations of the ExtendedW-Algebra ⋮ Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle ⋮ Irreducible representations of nongraded Witt type Lie algebras ⋮ Representations of a noncommutative associative algebra related to quantum torus of rank three. ⋮ Generalized Verma Modules over Lie Algebras of Weyl Type ⋮ Quasifinite modules of a Lie algebra related to Block type ⋮ Representations of the Schrödinger–Virasoro algebras

Cites Work

• Integrable representations of affine Lie-algebras
• 2-cocycles on the algebra of differential operators
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Free fields and quasi-finite representations of \(W_{1+{}\infty}\) algebra
• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra
• Zeta values and differential operators on the circle
• Representation theory of the vertex algebra \(W_{1+\infty}\)
• Isomorphism classes and automorphism groups of algebras of Weyl type
• COSET REALIZATION OF UNIFYING ${\mathcal W}$ ALGEBRAS
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
• 2-COCYCLES ON THE LIE ALGEBRAS OF GENERALIZED DIFFERENTIAL OPERATORS
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Classification of quasifinite modules over the Lie algebras of Weyl type.