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Journal of Mathematical Sciences

, Volume 243, Issue 4, pp 583–594 | Cite as

Explicit Equations for Exterior Square of the General Linear Group

  • R. A. LubkovEmail author
  • I. I. Nekrasov
Article

Several explicit systems of equations defining the exterior square of the general linear group ⋀2 GLn as affine group scheme are presented. Algebraic ingredients of the equations, so called exterior numbers, are translated to the language of weight diagrams corresponding to a Lie group of type An−1 in the representation with the highest weight ϖ2.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia
  2. 2.The Chebyshev LaboratorySt.Petersburg State UniversitySt.PetersburgRussia

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