scientific article; zbMATH DE number 5241709

zbMath1190.17006arXivmath/0212272MaRDI QIDQ5445049

Vyacheslav M. Futorny, Sergiy Ovsienko, Alexander I. Molev

Publication date: 28 February 2008

Full work available at URL: https://arxiv.org/abs/math/0212272

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Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (8)

Fibers of characters in Gelfand-Tsetlin categories ⋮ The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras ⋮ De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum \(\mathfrak{gl}_N\) ⋮ Torsion theories induced from commutative subalgebras. ⋮ Galois orders in skew monoid rings. ⋮ Gelfand-Tsetlin representations of finite \(W\)-algebras ⋮ Representations of Lie algebras ⋮ Algebras of invariant differential operators

Cites Work

• Yangians and R-matrices
• A new interpretation of Gelfand-Tsetlin bases
• Gelfand-Tsetlin basis for representations of Yangians
• Irreducibility criterion for tensor products of Yangian evaluation modules.
• Representations of Yangians with GelfandZetlin bases
• Indecomposable representations of generalized weyl algebras
• KOSTANT'S THEOREM FOR SPECIAL FILTERED ALGEBRAS
• Representation Theory of Artin Algebras I
• Lie Group Representations on Polynomial Rings
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