Rosa Orellana, Dartmouth College, “The partition algebra, symmetric functions and Kronecker coefficients”
SAS 4201The Schur-Weyl duality between the symmetric group and the general linear group allows us to connect the representation theory of these two groups. A consequence of this duality is the Frobenius formula which connects the irreducible characters of the general linear group and the symmetric group via symmetric functions. The symmetric group is also in…