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Math Help - irreducible gl(2)-module

  1. #1
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    irreducible gl(2)-module

    i was wondering what the irreducible gl(2)-module V((\lambda_1, \lambda_2)) is?
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  2. #2
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    Re: irreducible gl(2)-module

    Quote Originally Posted by wik_chick88 View Post
    i was wondering what the irreducible gl(2)-module V((\lambda_1, \lambda_2)) is?
    when posting a question, you need to explain your notation clearly so we know what you're talking about. we are not inside your head!!
    anyway, i guess you're talking about modules over Lie algebras? you didn't say anything as if we were your classmates!!
    "irreducible" means simple, i.e. your module has no non-trivial submodule.
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  3. #3
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    Re: irreducible gl(2)-module

    yes modules over Lie Algebras
    gl(2) has basis \{a^1_1, a^1_2, a^2_1, a^2_2\}

    i have to find constraints \lambda_1 and \lambda_2 such that the irreducible gl(2)-module V((\lambda_1, \lambda_2)) has dimension n...any ideas?
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