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Math Help - definition

  1. #1
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    definition

    hi


    may i know what it means by R ^x where R= real numbers? and what does GL (subscript 2) (R) means?


    thanks
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  2. #2
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    Quote Originally Posted by alexandrabel90 View Post
    hi


    may i know what it means by R ^x where R= real numbers? and what does GL (subscript 2) (R) means?


    thanks

    For any field (or even commutative ring) R\,,\,\,R^{*}:=R\setminus \{0\}\,\,\,(or\,\,\,R^{*}= the set of all units in the ring R) , and GL_2(R)= the set of all invertible 2 x 2 matrices with elements in R (or the set of all R-automorphism of the R-module R x R)

    Tonio
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  3. #3
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    then what is the different between GL (subscript 2) (R) and SL(subscript 2) (R)?

    THANKS!!!
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