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University of Sydney
School of Mathematics and Statistics
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.
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