theory of groups sentence in Hindi
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- "' Friederich Ignaz Mautner "'( 1921 2001 ) was an American mathematician, known for his research on the representation theory of groups, functional analysis, and differential geometry.
- Borel subgroups are one of the two key ingredients in understanding the structure of simple ( more generally, reductive ) algebraic groups, in Jacques Tits'theory of groups with a ( B, N ) pair.
- Following the book publication she wrote two additional papers, " Outline of the theory of groups " ( 1948 ) and " Matrices and linear dependence " ( 1949 ), which were never published.
- Summarizing the positions taken, Herbert Gintis noted that Wilson explicitly diverged from the general view that human sociality is accounted for by W . D . Hamilton's inclusive fitness theory, formulating instead a controversial theory of group selection.
- He is best known for his fundamental contributions to the Novikov conjecture on homotopy invariants of higher signatures, the Baum-Connes conjecture on K-theory of group C *-algebras, and the stable Borel conjecture on rigidity of manifolds.
- In the 1960s Naimark's interests focused more intensively on the representation theory of groups and algebras in spaces with an indefinite metric, which became the subject of his last ( 1976 ) monograph, " The theory of group representations ".
- In the 1960s Naimark's interests focused more intensively on the representation theory of groups and algebras in spaces with an indefinite metric, which became the subject of his last ( 1976 ) monograph, " The theory of group representations ".
- Furthermore, the vector space on which a group ( for example ) is represented can be infinite-dimensional, and by allowing it to be, for instance, a Hilbert space, methods of analysis can be applied to the theory of groups.
- If " G " is a finite group and " k " a field with characteristic 0, then one shows in the theory of group representations that any subrepresentation of a given one is already a direct summand of the given one.
- ""'The Selfish Gene " "'is a 1976 book on evolution by Richard Dawkins, in which Dawkins builds upon the principal theory of group, popularising ideas developed during the 1960s by W . D . Hamilton and others.
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