Sydney University Algebra Seminar

    University of Sydney

    School of Mathematics and Statistics

    Algebra Seminar

    Alex Molev
    University of Sydney

    Irreducibility conditions for tensor products of gl(n)-modules.

    Friday 26th May, 12-1pm, Carslaw 175.

    The tensor product of two irreducible finite-dimensional representations of the Lie algebra gl(n) is generally reducible with the multiplicities given by the Littlewood-Richardson rule. However, the tensor product can be irreducible with respect to an extended family of natural operators which form a representation of the Yangian for gl(n). Conditions for irreducibility of multiple tensor products of this kind will be discussed in the talk.