Journal Article10.1007/BF01114877
Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
333
About: This article is published in Mathematische Zeitschrift. The article was published on 01 Feb 1964.
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Citations
Hecke algebras of type An and subfactors.
TL;DR: In this article, it was shown that the index of a subfactor has to be either greater or equal than 4 or equal to 4cosZ(x) for some l~N, I>3 and that there exist subfactors for all these index values.
478
Total Positivity: Tests and Parametrizations
Sergey Fomin,Andrei Zelevinsky +1 more
TL;DR: An introduction to total positivity (TP) with the emphasis on efficient TP criteria and parametrizations of TP matrices is given in this article, where the authors present a general mathematical audience.
254
The boundary of Young graph with Jack edge multiplicities
TL;DR: In this paper, the Pieri formula for symmetric polynomials was used to derive the geometrical boundary of the Young graph Y, which is a potential theory for non-negative harmonic functions.
232
Algebro — Geometric applications of schur s- and q-polynomials
Piotr Pragacz
- 01 Jan 1991
TL;DR: Schur Sand Q-polynomials have been studied in algebraic properties and characterizations as discussed by the authors, and the Schubert Calculus for Grassmannians of isotropic subspaces.
231
Distributions on Partitions, Point Processes,¶ and the Hypergeometric Kernel
Alexei Borodin,Grigori Olshanski +1 more
TL;DR: In this article, a 3-parametric family of stochastic point processes on the one-dimensional lattice originated from a remarkable family of representations of the infinite symmetric group was studied.
215
References
•Book
The Theory of Group Characters and Matrix Representations of Groups
Dudley Ernest Littlewood
- 21 Mar 2006
TL;DR: The Frobenius algebra of the symmetric group is studied in this article, where the characters of the group characters and the structure of continuous matrix groups and invariant matrices of unitary matrices are discussed.