X-Nico

4 unusual facts about invariant theory


De Donder–Weyl theory

The work of De Donder in contrast started from the theory of integral invariants of Élie Cartan.

Hilbert basis

in Invariant theory a finite set of invariant polynomials, such that every invariant polynomial may be written as a polynomial function of these basis elements

Invariant theory

A distinct strand of invariant theory, going back to the classical constructive and combinatorial methods of the nineteenth century, has been developed by Gian-Carlo Rota and his school.

Tan Eng Chye

Tan Eng Chye’s research interests are Representation Theory of Lie Groups and Lie Algebra and Invariant theory and Algebraic combinatorics.


Frank Grosshans

Frank Grosshans is an American mathematician who works in invariant theory, where he is known for the discovery of Grosshans subgroups and Grosshans graded coefficients.


see also

Geometric invariant theory

E.B. Vinberg, V.L. Popov, Invariant theory, in Algebraic geometry.

Hilbert's theorem

Hilbert's syzygy theorem, a result of commutative algebra in connection with the syzygy problem of invariant theory