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- W2055688317 abstract "Let Λ be a finite dimensional algebra of finite representation type over a finite field k. For any modules A, B and Pin mod Λ with P projective, we prove that there exists a polynomial ϕ B (P)Λ over Z whose evaluation at |E| for any conservative finite field extension E of Λ is the sum of Hall numbers F B E C E A E where C E runs through isoclasses in mod Λ E and P E is the projective cover of C E . As a consequence of this result and its dual version, Hall polynomials ϕ E CA exist when C or A is semisimple. As applications of the main result, we obtain the existence of Hall polynomials for Nakayama algebras and some selfinjective algebras. *Supported by the Volkswagen Foundation." @default.
- W2055688317 created "2016-06-24" @default.
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- W2055688317 date "2001-05-31" @default.
- W2055688317 modified "2023-09-25" @default.
- W2055688317 title "POLYNOMIALS RELATED TO HALL NUMBERS" @default.
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- W2055688317 doi "https://doi.org/10.1081/agb-5010" @default.
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