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The Lie bracket of a Lie algebra is a binary operation denoted by [,]:. By using the commutator as a Lie bracket, every associative algebra can be turned into a Lie algebra. By using the commutator as a Lie bracket, every associative algebra can be turned into a Lie algebra.
In the United Kingdom and many other English-speaking countries, "brackets" means (), known in the US as "parentheses" (singular "parenthesis"). That said, the specific terms "parentheses" and "square brackets" are generally understood everywhere and may be used to avoid ambiguity. The symbol of grouping knows as "braces" has two major uses.
2. In geometry and linear algebra, denotes the cross product. 3. In set theory and category theory, denotes the Cartesian product and the direct product. See also × in § Set theory. · 1. Denotes multiplication and is read as times; for example, 3 ⋅ 2. 2. In geometry and linear algebra, denotes the dot product. 3.
Order of operations, uses multiple types of brackets; Set, uses braces "{}" Interval, uses square brackets and parentheses; Matrix, uses square brackets and parentheses; Inner product space, uses parentheses and chevrons
In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power). [5] These operations may be performed on numbers, in which case they are often called arithmetic operations.
See History of algebra: The symbol x. 1637 [2] René Descartes (La Géométrie) √ Ì… . ... braces, a.k.a. curly brackets (for set notation) 1895 Georg Cantor
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