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Dehghani et al., 2019 - Google Patents

On the Representations and Characters of Cat¹-Groups and Crossed Modules

Dehghani et al., 2019

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Document ID
15126184873324922545
Author
Dehghani M
Davvaz B
Publication year
Publication venue
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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Snippet

Let G be a group and V a K-vector space. A K-linear representation of G with representation space V is a homomorphism φ: G→ GL (V). The dimension of V is called the degree of φ. If φ is a representation of G, then the character φ is defined for g∈ G as ψ_ {g}(φ)= Tr (φ (g)). In …
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Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724Finite field arithmetic
    • G06F7/726Inversion; Reciprocal calculation; Division of elements of a finite field

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