Explicit Equations for Exterior Square of the General Linear Group
- Autores: Lubkov R.1, Nekrasov I.2
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Afiliações:
- St. Petersburg State University
- The Chebyshev Laboratory, St.Petersburg State University
- Edição: Volume 243, Nº 4 (2019)
- Páginas: 583-594
- Seção: 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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Resumo
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.
Sobre autores
R. Lubkov
St. Petersburg State University
Autor responsável pela correspondência
Email: RomanLubkov@yandex.ru
Rússia, St. Petersburg
I. Nekrasov
The Chebyshev Laboratory, St.Petersburg State University
Email: RomanLubkov@yandex.ru
Rússia, St.Petersburg