In mathematics, a group of Lie type is a group closely related to the group G(k) of rational points of a reductive linear algebraic group G with values in the field k. Finite groups of Lie type give the bulk of nonabelian finite simple groups. Special cases include the classical groups, the Chevalley groups, the Steinberg groups, and the Suzuki–Ree groups.
Dieudonné (1971) and Carter (1989) are standard references for groups of Lie type.
Read more about Group Of Lie Type: Classical Groups, Chevalley Groups, Steinberg Groups, Suzuki–Ree Groups, Relations With Finite Simple Groups, Small Groups of Lie Type, Notation Issues
Famous quotes containing the words group of, group, lie and/or type:
“It’s important to remember that feminism is no longer a group of organizations or leaders. It’s the expectations that parents have for their daughters, and their sons, too. It’s the way we talk about and treat one another. It’s who makes the money and who makes the compromises and who makes the dinner. It’s a state of mind. It’s the way we live now.”
—Anna Quindlen (20th century)
“It is not God that is worshipped but the group or authority that claims to speak in His name. Sin becomes disobedience to authority not violation of integrity.”
—Sarvepalli, Sir Radhakrishnan (1888–1975)
“Summoning a child’s voice from a webfoot stone,
Never never oh never to regret the bugle I wore
On my cleaving arm as I blasted in a wave.
Now shown and mostly bare I would lie down,
Lie down, like down and live
As quiet as a bone.”
—Dylan Thomas (1914–1953)
“How is freedom measured, in individuals as in nations? By the resistance which has to be overcome, by the effort it costs to stay aloft. One would have to seek the highest type of free man where the greatest resistance is constantly being overcome: five steps from tyranny, near the threshold of the danger of servitude.”
—Friedrich Nietzsche (1844–1900)