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- W2964256842 abstract "Let F be an algebraically closed field of characteristic zero and let G be a finite group. In this paper we will show that the asymptotics of cnG(A), the G-graded codimension sequence of a finite dimensional G-simple F-algebra A, has the form αn1−dimFAe2(dimFA)n (as conjectured by E. Aljadeff, D. Haile and M. Natapov), where α is some positive real number and Ae denotes the identity component of A. In the special case where A is the algebra of m×m matrices with an arbitrary elementary G-grading we succeeded in calculating the constant α explicitly." @default.
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- W2964256842 date "2016-07-01" @default.
- W2964256842 modified "2023-09-26" @default.
- W2964256842 title "On the codimension sequence of G-simple algebras" @default.
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- W2964256842 doi "https://doi.org/10.1016/j.jalgebra.2016.03.004" @default.
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