Centralizer construction of the Yangian of the queer Lie superalgebra

نویسندگان

  • Maxim Nazarov
  • Alexander Sergeev
چکیده

The enveloping algebra U(g) of the Lie superalgebra g has a deformation, called the Yangian of qN . For each M = 1 ,2 , . . . denote by A M N the centralizer of qM ⊂ qN+M in the associative superalgebra U(qN+M ) . We construct a sequence of surjective homomorphisms U(qN ) ← A 1 N ← A 2 N ← . . . . We describe the inverse limit of the sequence of centralizer algebras A1N ,A 2 N , . . . in terms of the Yangian of qN .

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تاریخ انتشار 2004