DEFINITION 2. A field K is called a splitting field of a character 𝜒 of a group G if 𝜒∈ operatorname Char_K(G), i.e., 𝜒 is afforded by a K-representation of G. Let T be a representation of G affording the character 𝜒. It follows from Definition 2 that K is a splitting field of 𝜒 if and only if T is equivalent to 𝛥, where 𝛥 is a K-representation of G. In other words, K is a splitting field of a character 𝜒 if and only if a representation T affording 𝜒 is realized over K. Every character of G has a splitting field (for example, C is a splitting field of any character of G). If K is a splitting field of both characters 𝜒₁,𝜒₂, then K is a splitting field of 𝜒₁+𝜒₂, Therefore, in studying splitting fields, we may consider irreducible characters only. DEFINITION 3. A field K is called a splitting field of a group G if it is a splitting field for every 𝜒∈ operatorname Irr(G).

Under theſe Auſpices, Jamblicus compoſed the Book juſt before mentioned, Of the Mytſeries; meaning the profound and recondite Doctrines of the Egyptian Philoſophy: VVhich, at Bottom, is nothing elſe but the genuine Greek Philoſophy, imbrovvned vvith the Fanaticiſm of Eatſern Cant.

To replace the entire unit would be my best advice, to repair it costs more than just money, you also have to hassle with the repair people and lose out on time not having your 'nuke'.

I think this band's sound is very now.