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The reverse decomposition of unipotents for bivectors
Roman Lubkov
For the second fundamental representation of the general linear group over a commutative ring we construct straightforward and uniform polynomial expressions of elementary gene…
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. 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…