Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Ekaterina A. Vassilieva"'
Publikováno v:
Discrete Mathematics. 342:1658-1673
Introduced by Solomon in his 1976 paper, the descent algebra of a finite Coxeter group received significant attention over the past decades. As proved by Gessel, in the case of the symmetric group its structure constants give the comultiplication tab
Autor:
Ekaterina A. Vassilieva
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
This paper is devoted to the computation of the number of ordered factorizations of a long cycle in the symmetric group where the number of factors is arbitrary and the cycle structure of the factors is given. Jackson (1988) derived the first closed
Externí odkaz:
https://doaj.org/article/86045dbd54c44b14b102057dfc52b9d2
Autor:
Ekaterina A. Vassilieva
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AR,..., Iss Proceedings (2012)
This paper is devoted to the explicit computation of generating series for the connection coefficients of two commutative subalgebras of the group algebra of the symmetric group, the class algebra and the double coset algebra. As shown by Hanlon, Sta
Externí odkaz:
https://doaj.org/article/f94cc5baf4b04ba7903473e383df55bf
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AO,..., Iss Proceedings (2011)
This paper is devoted to the evaluation of the generating series of the connection coefficients of the double cosets of the hyperoctahedral group. Hanlon, Stanley, Stembridge (1992) showed that this series, indexed by a partition $ν$, gives the spec
Externí odkaz:
https://doaj.org/article/db4cc29b8e9b42ffad61059afb719d26
Autor:
Ekaterina A. Vassilieva
Publikováno v:
Annals of Combinatorics. 21:445-477
This paper is devoted to the explicit computation of some generating series for the connection coefficients of the double cosets of the hyperoctahedral group that arise in the study of the spectra of normally distributed random matrices. Aside their
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 5, Iss 1 (2002)
This paper is devoted to the presentation of a combinatorial approach, based on the theory of symmetric functions, for analyzing the performance of a family of demodulation methods used in mobile telecommunications.
Externí odkaz:
https://doaj.org/article/d0d905810e044e83a00e41fb2bf50471
Autor:
Daniel Krob, Ekaterina A. Vassilieva
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AA,..., Iss Proceedings (2001)
This paper provides a combinatorial approach for analyzing the performance of demodulation methods used in GSM. We also show how to obtain combinatorially a nice specialization of an important performance evaluation formula, using its connection with
Externí odkaz:
https://doaj.org/article/de66479430664c9dbdc8f1e5fe4c2f25
Autor:
Ekaterina A. Vassilieva
Publikováno v:
Discrete Mathematics. 338:1603-1613
The class algebra and the double coset algebra are two classical commutative subalgebras of the group algebra of the symmetric group. The connexion coefficients of these two algebraic structures are important numbers with significant applications. Fr
Autor:
Ekaterina A. Vassilieva
Publikováno v:
Journal of Algebraic Combinatorics. 42:51-71
This article is devoted to the computation of Jack connection coefficients, a generalization of the connection coefficients of two classical commutative subalgebras of the group algebra of the symmetric group: the class algebra and the double coset a
Publikováno v:
The Electronic Journal of Combinatorics. 23
This article is devoted to the study of Jack connection coefficients, a generalization of the connection coefficients of the classical commutative subalgebras of the group algebra of the symmetric group closely related to the theory of Jack symmetric