complex lie group造句
例句與造句
- The M鯾ius group is then a complex Lie group.
- The notion of a real form can also be defined for complex Lie groups.
- In this case is a real / complex Lie group of real / complex dimension.
- If and are the complex Lie groups corresponding to and, then the Gauss decomposition states that the subset
- The complex Lie group E 8 of complex dimension 248 can be considered as a simple real Lie group of real dimension 496.
- It's difficult to find complex lie group in a sentence. 用complex lie group造句挺難的
- The definition on the complex Lie groups is as expected, but " L "-homomorphisms must be'over'the Weil group.
- Its restriction to is an irreducible unitary representation of with highest weight, and each irreducible unitary representations of is obtained in this way for a unique value of . ( A holomorphic representation of a complex Lie group is one for which the corresponding Lie algebra representation is " complex " linear .)
- However, PVS can also be studied from the point of view of Lie theory : for instance, in Knapp ( 2002 ), " G " is a complex Lie group and " V " is a holomorphic representation of " G " with an open dense orbit.
- As well as the complex Lie group of type E 8, there are three real forms of the Lie algebra, three real forms of the group with trivial center ( two of which have non-algebraic double covers, giving two further real forms ), all of real dimension 248, as follows:
- While in the first two cases the surface " X " admits infinitely many conformal automorphisms ( in fact, the conformal automorphism group is a complex Lie group of dimension three for a sphere and of dimension one for a torus ), a hyperbolic Riemann surface only admits a discrete set of automorphisms.
- This theory can be extended to finite-dimensional representations of semisimple Lie groups using Weyl's unitary trick : each semisimple real Lie group " G " has a complexification, which is a complex Lie group " G " c, and this complex Lie group has a maximal compact subgroup " K ".
- This theory can be extended to finite-dimensional representations of semisimple Lie groups using Weyl's unitary trick : each semisimple real Lie group " G " has a complexification, which is a complex Lie group " G " c, and this complex Lie group has a maximal compact subgroup " K ".
- The distinction, in the cases directly connection to representation theory, is explained on the level of double cosets; or in other terms of actions on analogues of complex flag manifolds " G " / " B " where " G " is a complex Lie group and " B " a Borel subgroup.
- As well as the complex Lie group of type E 6, there are five real forms of the Lie algebra, and correspondingly five real forms of the group with trivial center ( all of which have an algebraic double cover, and three of which have further non-algebraic covers, giving further real forms ), all of real dimension 78, as follows: