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- Mirabolic_group abstract "In mathematics, a mirabolic subgroup of the general linear group GLn(k), studied by Gelfand & Kajdan (1975), is a subgroup consisting of automorphisms fixing a given non-zero vector in kn. Its image in the projective general linear group is a parabolic subgroup consisting of all elements fixing a given point of projective space. The word "mirabolic" is a portmanteau of "miraculous parabolic". As an algebraic group, a mirabolic subgroup is the semidirect product of a vector space with its group of automorphisms, and such groups are called mirabolic groups. The mirabolic subgroup is used to define the Kirillov model of a representation of the general linear group. Example: The group of all matrices of the form (**01) is a mirabolic subgroup of the 2-dimensional general linear group.".
- Mirabolic_group wikiPageExternalLink books?id=HyrvAAAAMAAJ.
- Mirabolic_group wikiPageExternalLink 2947.full.pdf.
- Mirabolic_group wikiPageID "32086828".
- Mirabolic_group wikiPageRevisionID "606132841".
- Mirabolic_group b "1".
- Mirabolic_group hasPhotoCollection Mirabolic_group.
- Mirabolic_group p "**".
- Mirabolic_group subject Category:Algebraic_groups.
- Mirabolic_group type Abstraction100002137.
- Mirabolic_group type AlgebraicGroups.
- Mirabolic_group type Group100031264.
- Mirabolic_group comment "In mathematics, a mirabolic subgroup of the general linear group GLn(k), studied by Gelfand & Kajdan (1975), is a subgroup consisting of automorphisms fixing a given non-zero vector in kn. Its image in the projective general linear group is a parabolic subgroup consisting of all elements fixing a given point of projective space. The word "mirabolic" is a portmanteau of "miraculous parabolic".".
- Mirabolic_group label "Mirabolic group".
- Mirabolic_group sameAs m.0gwz__k.
- Mirabolic_group sameAs Q6872335.
- Mirabolic_group sameAs Q6872335.
- Mirabolic_group sameAs Mirabolic_group.
- Mirabolic_group wasDerivedFrom Mirabolic_group?oldid=606132841.
- Mirabolic_group isPrimaryTopicOf Mirabolic_group.