¹ Source: wiktionary.com
Definition of Algebras
1. algebra [n] - See also: algebra
Lexicographical Neighbors of Algebras
Literary usage of Algebras
Below you will find example usage of this term as found in modern and/or classical literature:
1. A Treatise on Universal Algebra: With Applications by Alfred North Whitehead, ( (1898)
"CLASSIFICATION OF SPECIAL algebras. The succeeding books of this work will be
devoted to the discussion and comparison of the leading special algebras. ..."
2. Synopsis of Linear Associative Algebra: A Report on Its Natural Development by James Byrnie Shaw (1907)
"KRONECKER algebras. 205. Definition. A commutative algebra is one such that every
pair of numbers £0 ^ in it, satisfy the equation i1 &&=&& 206. Theorem. ..."
3. Sophus Lie's 1880 Transformation Group Paper by Sophus Lie, Robert Hermann (1975)
"ABELIAN LIE algebras OF VECTOR FIELDS Lie's constant objective was to derive
canonical forms for classes of Lie algebras of vector fields. ..."
4. Topics in Physical Geometry by Robert Hermann (1988)
"In particular, the Lie theory involves studying the Lie algebra of derivations
of commutative associative algebras. (In elementary particle physics, ..."
5. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"They will play the role in stochastic system theory that Lie algebras of vector
fields play in deterministic system theory. The obvious place to start will ..."
6. Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control by Louis R. Hunt, Clyde Martin (1984)
"Affine Lie algebras [14] are a class of infinite dimensional Lie algebras ...
In this paper theta functions are given in terms of affine Lie algebras and ..."
7. Topics in the Mathematics of Quantum Mechanics by Robert Hermann (1973)
"We now turn to a study of a general method of realizing current algebras as the
Lie algebras of infinite dimensional Lie groups. 10. ..."
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