Admissible algebra, the Glossary
In mathematics, an admissible algebra is a (possibly non-associative) commutative algebra whose enveloping Lie algebra of derivations splits into the sum of an even and an odd part.[1]
Table of Contents
3 relations: Commutative algebra, Derivation (differential algebra), Lie algebra.
- Non-associative algebra
Commutative algebra
Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings.
See Admissible algebra and Commutative algebra
Derivation (differential algebra)
In mathematics, a derivation is a function on an algebra that generalizes certain features of the derivative operator.
See Admissible algebra and Derivation (differential algebra)
Lie algebra
In mathematics, a Lie algebra (pronounced) is a vector space \mathfrak g together with an operation called the Lie bracket, an alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g, that satisfies the Jacobi identity.
See Admissible algebra and Lie algebra
See also
Non-associative algebra
- Admissible algebra
- Associator
- Biracks and biquandles
- Bol loop
- CH-quasigroup
- Cancellation property
- Commutative magma
- Gyrovector space
- Heap (mathematics)
- Hyperbolic quaternion
- Isotopy of loops
- Jacobi identity
- Latin square
- Lie conformal algebra
- Lie-admissible algebra
- Magma (algebra)
- Malcev-admissible algebra
- Medial magma
- Monster vertex algebra
- Moufang loop
- Moufang polygon
- Non-associative algebras
- Noncommutative Jordan algebra
- Power associativity
- Pre-Lie algebra
- Quasifield
- Quasigroup
- Racks and quandles
- Small Latin squares and quasigroups
- Vertex operator algebra