modular representation theory造句

例句与造句

1. With his graduate student Cecil J . Nesbitt he developed modular representation theory, published in 1937.
2. In modular representation theory of a finite group G, the stable module category is yet another example.
3. It was often the case that, while the conclusions concerned groups of complex matrices, the techniques employed were from modular representation theory.
4. The case of positive characteristic, ideologically close to modular representation theory, is an area of active study, with links to algebraic topology.
5. Group representation theory was generalized by Richard Brauer from the 1940s to give modular representation theory, in which the matrix operators act over a real or complex numbers.
6. It's difficult to find modular representation theory in a sentence. 用modular representation theory造句挺难的
7. His proof of the conjecture used techniques from the modular representation theory of groups, which he later applied to work on cohomology of groups and algebraic K-theory.
8. The modular representation theory entered a new era as the techniques of the classification were axiomatized, including fusion systems, Puig's theory of pairs and nilpotent blocks.
9. Brauer applied modular representation theory to obtain subtle information about group characters, particularly via his block with cyclic defect group which encodes much information about the structure of the block.
10. He wrote almost a hundred other papers, mostly on finite group theory, character theory ( in particular introducing the concept of a coherent set of characters ), and modular representation theory.
11. He is also known for his conjecture,, a topic of current research in modular representation theory, and for his work on the local control of fusion,, part of Sylow 2-subgroups.
12. In the modular representation theory of finite groups " k " can be a field \ overline { \ mathbf { F } } _ p, the algebraic closure of the finite field with " p " elements.
13. When " p " and | " G " | have a common factor, there are " G "-representations that are not semisimple, which are studied in a subbranch called modular representation theory.
14. As of the 20th century, groups gained wide recognition by the pioneering work of Ferdinand Georg Frobenius and William Burnside, who worked on representation theory of finite groups, Richard Brauer's modular representation theory and Issai Schur's papers.
15. In mathematics, and in particular modular representation theory, a "'decomposition matrix "'is a matrix that results from writing the irreducible ordinary characters in terms of the irreducible modular characters, where the entries of the two sets of characters are taken to be over all conjugacy classes of elements of order coprime to the characteristic of the field.
16. When " R " is a field of characteristic " p ", and the prime number " p " divides the order of the finite group " G ", then the group ring is " not " semisimple : it has a non-zero Jacobson radical, and this gives the corresponding subject of modular representation theory its own, deeper character.