Email this article Explicit Equations for Exterior Square of the General Linear Group
- Authors: Lubkov R.A.1, Nekrasov I.I.2
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Affiliations:
- St. Petersburg State University
- The Chebyshev Laboratory, St.Petersburg State University
- Issue: Vol 243, No 4 (2019)
- Pages: 583-594
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243122
- DOI: https://doi.org/10.1007/s10958-019-04559-5
- ID: 243122
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Abstract
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.
About the authors
R. A. Lubkov
St. Petersburg State University
Author for correspondence.
Email: RomanLubkov@yandex.ru
Russian Federation, St. Petersburg
I. I. Nekrasov
The Chebyshev Laboratory, St.Petersburg State University
Email: RomanLubkov@yandex.ru
Russian Federation, St.Petersburg
