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math.RT2008★ 2 cited
Parking functions and vertex operators
Vladimir Dotsenko
We introduce several associative algebras and series of vector spaces associated to these algebras. Using lattice vertex operators, we obtain dimension and character formulae for t…
math.RT2008
A remark on Frobenius characters for set representations of symmetric groups
Vladimir Dotsenko
For any set representation (permutation representation) of the symmetric group , we give combinatorial interpretation for coefficients of its Frobenius character expanded in t…