Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
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Publication:4833482
DOI10.1063/1.1769104zbMath1071.17020arXivmath/0312024OpenAlexW2005672914WikidataQ115333665 ScholiaQ115333665MaRDI QIDQ4833482
Publication date: 15 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0312024
Related Items (48)
Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ Whittaker category for the Lie algebra of polynomial vector fields ⋮ Classification of irreducible representations of Lie algebra of vector fields on a torus ⋮ Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex ⋮ New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces ⋮ Integrable representations for the twisted full toroidal Lie algebras ⋮ Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules ⋮ Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\) ⋮ Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras ⋮ Integrable modules for twisted toroidal extended affine Lie algebras ⋮ Irreducible integrable modules for the full toroidal Lie algebras coordinated by rational quantum torus ⋮ The irreducible modules for the derivations of the rational quantum torus ⋮ Shen-Larsson's modules for simple generalized Witt algebras ⋮ A class of irreducible modules for loop-Virasoro algebras ⋮ Irreducible modules for the loop of derivations of rational quantum torus ⋮ Representations of map extended Witt algebras ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ Tensor modules over Witt superalgebras ⋮ Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra ⋮ Classification of category \(\mathcal{J}\) modules for divergence zero vector fields on a torus ⋮ New families of irreducible weight modules over \(\mathfrak{sl}_3\) ⋮ Partial classification of irreducible modules for loop-Witt algebras ⋮ Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\) ⋮ Integrable Representations for Twisted Generalized Virasoro-Toroidal Lie Algebras ⋮ Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra ⋮ Modules of highest weight type for the algebra of derivations over a rational quantum torus ⋮ Irreducible modules over the divergence zero algebras and their \(q\)-analogues ⋮ Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra ⋮ Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus ⋮ Representations of the Lie algebra of vector fields on a sphere ⋮ Category $\mathcal{J}$ Modules for Hamiltonian Vector Fields on a Torus ⋮ Simple weight modules with finite-dimensional weight spaces over Witt superalgebras ⋮ Indecomposable representations of the Lie algebra of derivations for \(d\)-torus ⋮ Irreducible Harish-Chandra modules over extended Witt algebras ⋮ Classification of irreducible integrable representations for the full toroidal Lie algebras ⋮ First Cohomology Group from the Virasoro-Like Algebra to its Larsson Functor Module ⋮ Irreducible weight modules over Witt algebras ⋮ \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\) ⋮ Partial classification of cuspidal simple modules for Virasoro-like algebra ⋮ Derivations and automorphism group for divergence zero vector fields on torus ⋮ Classification of bounded modules for the twisted full toroidal Lie algebras ⋮ Simple modules over the Lie algebras of divergence zero vector fields on a torus ⋮ Partial classification of modules for the algebra of skew-derivations over the d-dimensional torus ⋮ On Integrable modules for the twisted full toroidal Lie algebra ⋮ Representations of Lie algebras of vector fields on affine varieties ⋮ IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI ⋮ A class of new simple modules for \(\mathfrak{sl}_{n + 1}\) and the Witt algebra ⋮ Irreducible jet modules for the vector field Lie algebra on S1×C
Cites Work
- Fock space representations of the algebra of diffeomorphisms of the \(n\)-torus
- Toroidal Lie algebras and vertex representations
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- Lowest-energy representations of non-centrally extended diffeomorphism algebras
- Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
- Integrable representations for generalized Virasoro-toroidal Lie algebras.
- Irreducible representations for toroidal Lie algebras
- Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
- Generalized Virasoro Operators
- Algebras of diffeomorphisms of the N-torus
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- Central and noncentral extensions of multi-graded Lie algebras
- CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
- Extended diffeomorphism algebras and trajectories in jet space
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