2. [7 Marks] Consider the additive group (Z, +). Define the mapping p: Z→GL₂(C) given by p(n) = ( 1₂ ï). 0 1 a) Show tha

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2. [7 Marks] Consider the additive group (Z, +). Define the mapping p: Z→GL₂(C) given by p(n) = ( 1₂ ï). 0 1 a) Show tha

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2 7 Marks Consider The Additive Group Z Define The Mapping P Z Gl C Given By P N 1 I 0 1 A Show Tha 1
2 7 Marks Consider The Additive Group Z Define The Mapping P Z Gl C Given By P N 1 I 0 1 A Show Tha 1 (21.69 KiB) Viewed 41 times
Abstract Algebra
Please explain workings
2. [7 Marks] Consider the additive group (Z, +). Define the mapping p: Z→GL₂(C) given by p(n) = ( 1₂ ï). 0 1 a) Show that p is a representation of Z. b) Find the character of this representation. Is this character irreducible?
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