split real form造句

The first one is noncompact, the so-called "'split real form "', and its Killing form has signature.
The most difficult case ( for exceptional groups ) is the split real form of E 8 ( see above ), where the largest matrix is of size 453060?53060.
The unadorned Dynkin diagram ( i . e ., that with only white nodes and no arrows ), when interpreted as a Satake diagram, represents the split real form of the Lie algebra, whereas it represents the compact form when interpreted as a Vogan diagram.
In mathematics, "'G 2 "'is the name of three simple Lie groups ( a complex form, a compact real form and a split real form ), their Lie algebras \ mathfrak { g } _ 2, as well as some algebraic groups.
Split Lie algebras are of interest both because they formalize the split real form of a complex Lie algebra, and because split semisimple Lie algebras ( more generally, split reductive Lie algebras ) over any field share many properties with semisimple Lie algebras over algebraically closed fields having essentially the same representation theory, for instance the splitting Cartan subalgebra playing the same role as the Cartan subalgebra plays over algebraically closed fields.
It's difficult to find split real form in a sentence. 用split real form造句挺难的

It is a basic fact in the structure theory of complex semisimple Lie algebras that every such algebra has two special real forms : one is the "'compact real form "'and corresponds to a compact Lie group under the Lie correspondence ( its Satake diagram has all vertices blackened ), and the other is the "'split real form "'and corresponds to a Lie group that is as far as possible from being compact ( its Satake diagram has no vertices blackened and no arrows ).