The non-semisimple Verlinde formula and pseudo-trace functions
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DOI: 10.1016/j.jpaa.2018.04.014
Abstract: We point out that results of Shimizu on internal characters imply a useful non-semisimple variant of the categorical Verlinde formula for factorisable finite tensor categories. When combined with results on pseudo-trace functions by Miyamoto and… read more here.
Keywords: pseudo trace; trace functions; non semisimple; verlinde formula ... See more keywords
On the zeros and singularities of adic trace functions
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DOI: 10.1080/00927872.2020.1825722
Abstract: Abstract Given a prime number p we consider the topological completion of the algebraic closure of the field of p-adic numbers with respect to the usual p-adic absolute value. In this paper, we point out… read more here.
Keywords: adic trace; zeros singularities; singularities adic; trace functions ... See more keywords
Power trace functions over finite fields
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DOI: 10.1142/s0219498820501960
Abstract: We count the number of solutions to a power trace function equal to a constant and use this to find the probability of a successful attack on an authentication code proposed by Ding et al.… read more here.
Keywords: trace functions; power trace; finite fields; power ... See more keywords