Sur les matrices quantiques |
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Affiliation: | 1. School of Electronics Engineering, KIIT University, Bhubaneswar, Odisha, India;2. School of Applied Science, KIIT University, Bhubaneswar, Odisha, India |
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Abstract: | We show here that row-reducing a quantum matrix produces another quantum matrix satisfying the same relations as those of the original quantum matrix ring Mq(n). As a corollary, the image of the quantum determinant in the abelianization of the total ring of quotients of Mq(n ), equals the Dieudonné determinant of the quantum matrix. |
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