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math.RT1999
A Generalization of Redfield's Master Theorem
Valentin Vankov Iliev
Generalizations of Redfield's master theorem and superposition theorem are proved by using decomposition of the tensor product of several induced monomial representations of the sy…
math.RT1999
A Generalization of Polya's Enumeration Theorem or the Secret Life of Certain Index Sets
Valentin Vankov Iliev
Polya's fundamental enumeration theorem is generalized in terms of Schur-Macdonald's theory (S-MT) of invariant matrices. Given a permutation group and a one-dimensiona…