Noncommutative invariants of dihedral groups
Copyright policy )Noncommutative invariants of dihedral groups
Let [Formula: see text] and [Formula: see text] be, respectively, the 2-generated free metabelian associative and Lie algebra over the field of complex numbers. In the associative case we find a finite set of generators of the algebra [Formula: see text] of the dihedral group of order [Formula: see text], [Formula: see text]. In the Lie case we find a minimal system of generators as a [Formula: see text]-module of the [Formula: see text]-invariants [Formula: see text] in the commutator ideal [Formula: see text] of [Formula: see text]. In both cases we compute the Hilbert (or Poincaré) series of the algebras [Formula: see text] and [Formula: see text].
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
Solvable, nilpotent (super)algebras, \(T\)-ideals, identities, varieties of associative rings and algebras, 16R10, 17B01, 05A15, 15A72, 16R40, 16W22, 17B30, 20D10, Identities, free Lie (super)algebras, Actions of groups and semigroups; invariant theory (associative rings and algebras), noncommutative invariant theory, Exact enumeration problems, generating functions, algebras with polynomial identity, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Identities other than those of matrices over commutative rings, Mathematics - Rings and Algebras, Group Theory (math.GR), free metabelian associative algebra, free metabelian Lie algebra, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, dihedral groups, Combinatorics (math.CO), Mathematics - Group Theory, Vector and tensor algebra, theory of invariants
Solvable, nilpotent (super)algebras, \(T\)-ideals, identities, varieties of associative rings and algebras, 16R10, 17B01, 05A15, 15A72, 16R40, 16W22, 17B30, 20D10, Identities, free Lie (super)algebras, Actions of groups and semigroups; invariant theory (associative rings and algebras), noncommutative invariant theory, Exact enumeration problems, generating functions, algebras with polynomial identity, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Identities other than those of matrices over commutative rings, Mathematics - Rings and Algebras, Group Theory (math.GR), free metabelian associative algebra, free metabelian Lie algebra, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, dihedral groups, Combinatorics (math.CO), Mathematics - Group Theory, Vector and tensor algebra, theory of invariants
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!