
School of Mathematics and Statistics
Alex Molev
University of Sydney
Irreducibility conditions for tensor products of gl(n)modules.
Friday 26th May, 121pm, Carslaw 175.
The tensor product of two irreducible finitedimensional
representations of the Lie algebra gl(n) is generally reducible with
the multiplicities given by the LittlewoodRichardson 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.
