|
Partial Group Algebra
In mathematics, a partial group algebra is an associative algebra related to the partial representations of a group. Examples * The partial group algebra \mathbb_(\mathbb_4) is isomorphic to the direct sum:R. Exel (1998) *: \mathbb\oplus\mathbb\oplus\mathbb\oplus\mathbb\oplus\mathbb\oplus\mathbb\oplus\mathbb\oplus \mathrm_2 \mathbb \oplus \mathrm_3 \mathbb See also * Group ring In algebra, a group ring is a free module and at the same time a ring, constructed in a natural way from any given ring and any given group. As a free module, its ring of scalars is the given ring, and its basis is the set of elements of the gi ... * Group representation Notes References * Algebras Representation theory of groups {{group-theory-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
