Faithful∗-representations of normed algebras. II
نویسندگان
چکیده
منابع مشابه
Minimal Faithful Representations of Reductive Lie Algebras
We prove an explicit formula for the invariant μ(g) for finite-dimensional semisimple, and reductive Lie algebras g over C. Here μ(g) is the minimal dimension of a faithful linear representation of g. The result can be used to study Dynkin’s classification of maximal reductive subalgebras of semisimple Lie algebras.
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All vector spaces and so forth here will be defined over the complex numbers. If z = x+i y is a complex number, where x, y are real numbers, then the complex conjugate of z is denoted z and defined to be x− i y. The complex conjugate of a sum or product of complex numbers is equal to the corresponding sum or product of complex conjugates. The modulus of a complex number z is the nonnegative rea...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1964
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1964.14.1475