3 citations · 8 across the 16 of their papers we have counts for
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A note on certain finite-dimensional representations of the braid group
Valentin Vankov Iliev
In this paper the author finds explicitly all finite-dimensional irreducible representations of a series of finite permutation groups that are homomorphic images of Artin braid gro…
On Lunn-Senior's Mathematical Model of Isomerism in Organic Chemistry. Part I
Valentin Vankov Iliev
The aim of this paper is to present a generalization of Lunn-Senior's mathematical model of isomerism in organic chemistry. The main idea of Lunn and Senior is that if the type of…
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…
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…