Linear algebraic groups as parameterized Picard–Vessiot Galois groups
Copyright policy )Linear algebraic groups as parameterized Picard–Vessiot Galois groups
We show that a linear algebraic group is the Galois group of a parameterized Picard-Vessiot extension of k(x), x' = 1, for certain differential fields k, if and only if its identity component has no one dimensional quotient as a linear algebraic group.
18 pages
- North Carolina Agricultural and Technical State University United States
- South Carolina State University United States
- North Carolina State University United States
Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain, Algebra and Number Theory, Group Theory (math.GR), Linear algebraic groups, Differential algebra, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain, Linear algebraic groups over arbitrary fields, Parameterized Picard–Vessiot theory, 12H05, 20G15, 34M03, 34M15, 34M50, Mathematics - Classical Analysis and ODEs, Inverse problem, parameterized Picar-Vessiot theory, Classical Analysis and ODEs (math.CA), FOS: Mathematics, inverse problem, Mathematics - Group Theory, linear algebraic groups
Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain, Algebra and Number Theory, Group Theory (math.GR), Linear algebraic groups, Differential algebra, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain, Linear algebraic groups over arbitrary fields, Parameterized Picard–Vessiot theory, 12H05, 20G15, 34M03, 34M15, 34M50, Mathematics - Classical Analysis and ODEs, Inverse problem, parameterized Picar-Vessiot theory, Classical Analysis and ODEs (math.CA), FOS: Mathematics, inverse problem, Mathematics - Group Theory, linear algebraic groups
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