Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Special Subgroups of the General Linear Group

Special Subgroups of the General Linear Group

El Idrissi, Mourad
El Bakkioui, Khalid

Paperback

General Mathematics

ISBN10: 6209192432
ISBN13: 9786209192432
Publisher: LAP Lambert Academic Publishing
Published: Nov 7 2025
Pages: 124
Weight: 0.39
Height: 0.29 Width: 6.00 Depth: 9.00
Language: English
The book of the general linear group occupies a prominent place in algebra and its applications, as it represents the group of all invertible linear transformations of a finite-dimensional vector space. Within this structure, certain subgroups stand out due to their intrinsic properties, their natural appearance in various contexts, and their profound connections with geometry, analysis, and mathematical physics. These are often referred to as remarkable subgroups of the linear group.This work is devoted to a detailed exploration of these subgroups, with particular emphasis on their definitions, fundamental characteristics, and theoretical significance. Among the most important are the special linear group, which captures the essence of volume-preserving transformations; the orthogonal and unitary groups, which embody notions of symmetry and invariance with respect to quadratic and Hermitian forms; and the symplectic group, which plays a central role in the mathematical formulation of classical and quantum mechanics.

Also from

El Bakkioui, Khalid

View All

Also in

General Mathematics

View All