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TRANSVECTANT

Transvectant

Invariant in mathematics

In mathematical invariant theory, a transvectant is an invariant formed from n invariants in n variables using Cayley's Ω process. If Q1,...,Qn are functions

Transvectant

Cayley's Ω process

Mathematical process

Ω process Ωr(f, g) on the two forms f and g is also called the r-th transvectant and is commonly written (f, g)r. Cayley's Ω process appears in Capelli's

Cayley's Ω process

Cayley's_Ω_process

Transvection

Topics referred to by the same term

to: Transvection (flying) Transvection (genetics) The creation of a transvectant in invariant theory A shear mapping in linear algebra Raising and lowering

Transvection

Glossary of invariant theory

number of forms is the number of variables. Salmon (1885, p.171) partial transvectant partition An expression of a number as a sum of positive integers.(Elliott

Glossary of invariant theory

Glossary_of_invariant_theory

Covariant (invariant theory)

-equivariant. Module of covariants Invariant of a binary form § Terminology Transvectant – method/process of constructing covariants Kraft & Procesi 2016, § 1

Covariant (invariant theory)

Covariant_(invariant_theory)

Glossary of classical algebraic geometry

generator. See (Semple & Roth 1949, p.204). torse Developable surface. transvectant An invariant depending on two forms. transversal A line meeting several

Glossary of classical algebraic geometry

Glossary_of_classical_algebraic_geometry