A FINITE ADDITIVE SET OF IDEMPOTENTS IN RINGS
نویسندگان
چکیده
منابع مشابه
Primitive central idempotents of finite group rings of symmetric groups
Let p be a prime. We denote by Sn the symmetric group of degree n, by An the alternating group of degree n and by Fp the field with p elements. An important concept of modular representation theory of a finite group G is the notion of a block. The blocks are in one-to-one correspondence with block idempotents, which are the primitive central idempotents of the group ring FqG, where q is a prime...
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It is then easily verified that RG satisfies the ring axioms; in fact, RG is a linear algebra over R. (We write all groups multiplicatively, and denote group identities by 1; we also use 1 for the unit element of R if there is one.) If R, in addition to being a ring, is a Banach algebra (i.e., an algebra over the complex field K, with a submultiplicative norm which makes R a Banach space), then...
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ژورنال
عنوان ژورنال: Korean Journal of Mathematics
سال: 2013
ISSN: 1976-8605
DOI: 10.11568/kjm.2013.21.4.463