1995
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Lee Li-chun ( Chinese: 李立群; Pe̍h-ōe-jī: Lí Li̍p-kûn; born 2 May 1952) is a Taiwanese actor and xiangsheng performer. Career. Lee is known for his work on stage with Godot Theater Company [ zh], starring in Art alongside Chin Shih-chieh and Ku Pao-ming in 2003. [1] . In 2005, Lee took the lead role in Godot's My First Wives. [2] .
Lee Hsien Loong [a] SPMJ DK (born 10 February 1952) is a Singaporean politician and former brigadier-general who has been a Senior Minister of Singapore since 2024, having previously served as the third Prime Minister of Singapore from 2004 to 2024.
- Definition
- Related Ideas
- Full Classification
- Overview of The Classification
- Simple Lie Groups of Small Dimension
- Simply Laced Groups
- See Also
- References
- Further Reading
Unfortunately, there is no universally accepted definition of a simple Lie group. In particular, it is not always defined as a Lie group that is simple as an abstract group. Authors differ on whether a simple Lie group has to be connected, or on whether it is allowed to have a non-trivial center, or on whether R {\displaystyle \mathbb {R} } is a si...
Simple Lie algebras
The Lie algebra of a simple Lie group is a simple Lie algebra. This is a one-to-one correspondence between connected simple Lie groups with trivialcenter and simple Lie algebras of dimension greater than 1. (Authors differ on whether the one-dimensional Lie algebra should be counted as simple.) Over the complex numbers the semisimple Lie algebras are classified by their Dynkin diagrams, of types "ABCDEFG". If L is a real simple Lie algebra, its complexification is a simple complex Lie algebra...
Symmetric spaces
Symmetric spaces are classified as follows. First, the universal cover of a symmetric space is still symmetric, so we can reduce to the case of simply connected symmetric spaces. (For example, the universal cover of a real projective plane is a sphere.) Second, the product of symmetric spaces is symmetric, so we may as well just classify the irreducible simply connected ones (where irreducible means they cannot be written as a product of smaller symmetric spaces). The irreducible simply conne...
Hermitian symmetric spaces
A symmetric space with a compatible complex structure is called Hermitian. The compact simply connected irreducible Hermitian symmetric spaces fall into 4 infinite families with 2 exceptional ones left over, and each has a non-compact dual. In addition the complex plane is also a Hermitian symmetric space; this gives the complete list of irreducible Hermitian symmetric spaces. The four families are the types A III, B I and D I for p = 2, D III, and C I, and the two exceptional ones are types...
Simple Lie groups are fully classified. The classification is usually stated in several steps, namely: 1. Classification of simple complex Lie algebras The classification of simple Lie algebras over the complex numbers by Dynkin diagrams. 2. Classification of simple real Lie algebras Each simple complex Lie algebra has several real forms, classifie...
Ar has as its associated simply connected compact group the special unitary group, SU(r + 1) and as its associated centerless compact group the projective unitary group PU(r + 1). Br has as its associated centerless compact groups the odd special orthogonal groups, SO(2r + 1). This group is not simply connected however: its universal (double) cover...
The following table lists some Lie groups with simple Lie algebras of small dimension. The groups on a given line all have the same Lie algebra. In the dimension 1 case, the groups are abelian and not simple.
A simply laced group is a Lie group whose Dynkin diagramonly contain simple links, and therefore all the nonzero roots of the corresponding Lie algebra have the same length. The A, D and E series groups are all simply laced, but no group of type B, C, F, or G is simply laced.
Jacobson, Nathan (1971). Exceptional Lie Algebras. CRC Press. ISBN 0-8247-1326-5.Fulton, William; Harris, Joe (2004). Representation Theory: A First Course. Springer. doi:10.1007/978-1-4612-0979-9. ISBN 978-1-4612-0979-9.Besse, Einstein manifolds ISBN 0-387-15279-2Helgason, Differential geometry, Lie groups, and symmetric spaces. ISBN 0-8218-2848-7Fuchs and Schweigert, Symmetries, Lie algebras, and representations: a graduate course for physicists. Cambridge University Press, 2003. ISBN 0-521-54119-0Sir Christopher Frank Carandini Lee CBE CStJ (27 May 1922 – 7 June 2015) was an English actor, singer, and military officer. [1] In a career spanning more than sixty years, Lee became known as an actor with a deep and commanding voice who often portrayed villains in horror and franchise films. Lee was knighted for services to drama and ...
Berners-Lee was born in London on 8 June 1955, [24] the son of mathematicians and computer scientists Mary Lee Woods (1924–2017) and Conway Berners-Lee (1921–2019). His parents were both from Birmingham and worked on the Ferranti Mark 1, the first commercially-built computer. His paternal grandmother was a Canadian woman from Winnipeg. [25]
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Leonardo Wilhelm DiCaprio was born on November 11, 1974, in Los Angeles, California. [1] He is the only child of Irmelin Indenbirken, a legal secretary, and George DiCaprio, an underground comix artist and distributor; they met while attending college and moved to Los Angeles after graduating. [2] [3] His mother is German and his father is of ...
