In mathematical representation theory, coherence is a property of sets of characters that allows one to extend an isometry from the degree-zero subspace of a space of characters to the whole space. The general notion of coherence was developed by Feit (1960, 1962), as a generalization of the proof by Frobenius of the existence of a Frobenius kernel of a Frobenius group and of the work of Brauer and Suzuki on exceptional characters. Feit & Thompson (1963, Chapter 3) developed coherence further in the proof of the Feit–Thompson theorem that all groups of odd order are solvable.
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giving conditions under which a setofcharacters is coherent. A typical one is as follows. Suppose that H is a subgroup of a group G with normalizer N,...
theory Coherent sampling, a relationship used in Fast Fourier transforms Coherentsetofcharacters in representation theory, a property ofsetsof characters...
mostly on finite group theory, character theory (in particular introducing the concept of a coherentsetofcharacters), and modular representation theory...
and φj. Dade isometry Coherentsetofcharacters Brauer, R.; Nesbitt, C. (1941), "On the modular charactersof groups", Annals of Mathematics, Second Series...
together form a coherent system of units (the setofcoherent SI units). A useful property of a coherent system is that when the numerical values of physical...
series based on the short, with four children characters as the main stars. The series was originally set up at 20th Century Fox Television for its primetime...
The following is an incomplete list ofcharacters from the television series Twin Peaks, the film Twin Peaks: Fire Walk with Me, and the 2017 revival...
which made him lose his Wits. He wasn’t even capable of forming coherent sentences. In rare moments of lucidity he still tried to help Tress and nudge her...
This is a list of Empowered characters. Empowered is a female member of the Superhomeys superhero group and the titular characterof the Empowered graphic...
featured an ensemble cast of twelve main characters. During the first season, the NBC Heroes cast page listed ten characters among the cast; Leonard Roberts...
interpretation of the development staff about a "rural, countryside" setting. Reception of the game's characters are mostly positive, with various characters having...
In the context of complex dynamics, a branch of mathematics, the Julia set and the Fatou set are two complementary sets (Julia "laces" and Fatou "dusts")...
following are fictional characters from the 1967 film The Producers, the Broadway musical based on it, and the 2005 film adaptation of the musical. Leopold...
conceiving of a universe in the form of a vast library containing all possible 410-page books of a certain format and characterset. The story was originally published...
a list ofcharacters from the animated television series ReBoot. Most ReBoot characters are named after technical computer terms or pieces of computer...
make coherentsetsofcharacters." Continuing to embrace advances in technology, Licko later produced vector-based design. In addition to being one of the...
backbone going through Rice's work which makes it coherent within itself. Introduced in The Queen of the Damned (1988), the Talamasca is said to have formed...
This is a list ofcharacters from the Wild Cards book series. The Astronomer first appeared in the short story "Pennies from Hell" by Lewis Shiner in...
chronological to form a coherent whole. Each cycle (and thus planet) introduces new secondary characters, although the central heroes of the story remain constant...
diverse group ofcharacters in the gang. The developers often allowed the actors to take scenes in their own direction to develop the characters in new ways...
Overview A B C D E F G H I J K L M N P R S T V W Deleted scenes characters References Key Characters that appear for only one sketch are not listed in the table...
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