Modular Representation Theory of General Linear Groups

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We studied representation theory of general linear groups in positive characteristic and quantum groups at roots of unity by a standard method such as treating different ranks, a rather standard method such as treating those groups at the same time and our new method that we change the "quantum characteristics" and we compare their module categories. Here, the speciality of our approach is to start with a very special category and then to pass it in the derived categories so that we are able to compare general module categories.