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Overgroups of exterior powers of an elementary group. Normalizers
Roman Lubkov, Ilia Nekrasov
We establish two characterizations of an algebraic group scheme over . Geometrically, the scheme is a stabilizer of an explicitly…
Overgroups of exterior powers of an elementary group. Levels
Roman Lubkov, Ilia Nekrasov
We prove a first part of the standard description of groups lying between an exterior power of an elementary group and a general linear group $GL_{n \choos…
Explicit equations for exterior square of the general linear group
Roman Lubkov, Ilia Nekrasov
We present several explicit systems of equations defining exterior square of the general linear group as an affine group scheme. Algebraic ingredients of the equations, exterior nu…
Overgroups of exterior powers of an elementary group. I. Levels and normalizers
Roman Lubkov, Ilia Nekrasov
In the present paper, we prove the first part in the standard description of groups lying between -th exterior power of elementary group and the general linear grou…