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- Title
ORBIT CLOSURES IN THE WITT ALGEBRA AND ITS DUAL SPACE.
- Authors
MYGIND, MARTIN
- Abstract
Working over an algebraically closed field of characteristic p > 3, we calculate the orbit closures in the Witt algebra W under the action of its automorphism group G. We also outline how the same techniques can be used to determine closures of orbits of all heights except p - 1 (in which case we only obtain a conditional statement) in the dual space W* under the induced action of G. As a corollary we prove that the algebra of invariants k[W*]G is trivial.
- Subjects
ORBITS (Astronomy); DUAL space; ALGEBRAIC field theory; AUTOMORPHISM groups; GROUP theory; INVARIANTS (Mathematics); LIE algebras
- Publication
Journal of Algebra & Its Applications, 2014, Vol 13, Issue 5, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498813501466