diagonal subgroup造句

• SU ( 3 ) C is identified with a diagonal subgroup of these two factors.
• The fixed point subgroup just corresponds to taking the diagonal subgroups in the second case, so is connected.
• But this last case can be viewed as a special case of the first one by focussing on the diagonal subgroup G \ times G . This definition can be iterated a finite number of times.
• If a chiral condensate forms, then the chiral symmetry is spontaneously broken into a diagonal subgroup SU ( " N " ) since the condensate leads to a pairing of the left-handed and the right-handed flavors.
• After the Higgs doublet acquires a nonzero vacuum expectation value, the ( approximate ) SU ( 2 ) L & times; SU ( 2 ) R symmetry is spontaneously broken to the ( approximate ) diagonal subgroup SU ( 2 ) V.
• The symplectic group, the diagonal subgroup, the complex general linear group embedded in the real general linear group, and the group of upper triangular matrices are a few that immediately come to mind .-- Fropuff 20 : 11, 23 February 2006 ( UTC)
• Indeed if " V " is any unitary representation of ?, then, regarding ? as the diagonal subgroup of ? ??, the corresponding induced representation on " l " 2 ( ?, " V " ) is naturally a bimodule for two commuting copies of " M ".
• Let \ rho _ 1, \ rho _ 2 be representations of the same group G . For the sake of simplicity, the direct sum of these representations is defined as a representation of G, i . e . it is given as \ rho _ 1 \ oplus \ rho _ 2 : G \ to \ text { GL } ( V _ 1 \ oplus V _ 2 ), by viewing G as the diagonal subgroup of G \ times G.