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- W115448052 abstract "As is well known, group rings of Coxeter groups have their q-analogue, which are called Hecke algebras. Its natural generalization seems to be q-deformation of twisted group rings. But few examples are found. Since a twisted group ring is a direct summand of the group ring of its representation group in the sense of projective representations, if the group ring of the representation group has a q-deformation, we can obtain a q-analogue of the twisted group ring by taking a direct summand of it, or equivalently, by taking a quotient of it. For example, if a Coxeter group is a representation group of a certain quotient group of it, we can find an example of a q-analogue of a twisted group ring. (In the above, we consider group rings over a field of characteristic zero.) To summarize, we consider the following situation." @default.
- W115448052 created "2016-06-24" @default.
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- W115448052 date "1997-01-01" @default.
- W115448052 modified "2023-09-27" @default.
- W115448052 title "q-Analogue of a Twisted Group Ring" @default.
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- W115448052 doi "https://doi.org/10.1007/978-1-4612-4124-9_1" @default.
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