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Yangians of the “strange” lie superalgebras

  • M. L. Nazarov
I. Quantum Groups, Deformation Theory And Representation Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1510)

Abstract

Consider the matrix Lie superalgebra A=gℓ(n|n, ℂ) with the standard generators e ij ; i, j ε ℤ2n. Define an automorphism π of A by π(e ij )=ei+n,j+n. The automorphisms π and −π o t, where t denotes the amtrix supertransposition, are involutory. Dissimilarly to the even case, acquires a natural superalgebra structure. A quantization of the co-Poisson Hopf superalgebra U Open image in new window is constructed. It gives rise to new solutions of the Yang-Baxter equation.

Keywords

Casimir Element Group OutA Hopf Superalgebra Superalgebra Structure White Bead 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • M. L. Nazarov
    • 1
  1. 1.Department of MathematicsMoscow State UniversityMoscowUSSR

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