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Publication:2732619
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zbMath0981.15013MaRDI QIDQ2732619

Alexandre Kirillov

Publication date: 21 March 2002


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

irreducible representationuniversal enveloping algebrasymmetric algebrasemi-simple Lie algebrasimple spectrumquantum eigenvaluesclassical and quantum family algebras


Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Algebraic systems of matrices (15A30)


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Algebraic properties of Manin matrices. I ⋮ Diagonal reduction algebra and the reflection equation ⋮ On bases of g-invariant endomorphism algebras ⋮ Descriptions of strongly multiplicity free representations for simple Lie algebras ⋮ \(q\)-index on braided non-commutative spheres ⋮ Quasideterminants ⋮ Drinfeld-Sokolov reduction in quantum algebras: canonical form of generating matrices ⋮ Relative Yangians of Weyl type ⋮ Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\) ⋮ Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials ⋮ Odd family algebras ⋮ The noncommutative Poisson bracket and the deformation of the family algebras ⋮ On covariants of reductive algebraic groups.



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