An algebra is a vector space (over C) with a multiplication such that A is a ring with identity, i.e. there is a map A × A → A, (a, b) 7→ ab, which is bilinear and satisfies the associative and distributive laws. The following are examples of algebras: (1) The group algebra of a group G is the vector space CG with basis G and with multiplication forced by… (More)
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