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7,197
On the fusion procedure for the symmetric group
, 2007
"... We give a new version of the fusion procedure for the symmetric group which originated in the work of Jucys and was developed by Cherednik. We derive it from the Jucys–Murphy formulas for the diagonal matrix units for the symmetric group. 1 ..."
Abstract

Cited by 8 (3 self)
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We give a new version of the fusion procedure for the symmetric group which originated in the work of Jucys and was developed by Cherednik. We derive it from the Jucys–Murphy formulas for the diagonal matrix units for the symmetric group. 1
Hecke algebras and Schur algebras of the symmetric group
, 1998
"... These notes give a fully selfcontained introduction to the (modular) representation theory of the IwahoriHecke algebras and the qSchur algebras of the symmetric groups. The central aim of this work is to give a concise, but complete, and an elegant, yet quick, treatment of the classificatio ..."
Abstract

Cited by 188 (19 self)
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These notes give a fully selfcontained introduction to the (modular) representation theory of the IwahoriHecke algebras and the qSchur algebras of the symmetric groups. The central aim of this work is to give a concise, but complete, and an elegant, yet quick, treatment
Generalized Blocks for Symmetric Groups
 INVENT. MATH
"... We study, via charactertheoretic methods, an #analogue of the modular representation theory of the symmetric group, for an arbitrary integer 2. We find that many of the invariants of the usual block theory (ie. when # is prime) generalize in a natural fashion to this new context. ..."
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Cited by 32 (7 self)
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We study, via charactertheoretic methods, an #analogue of the modular representation theory of the symmetric group, for an arbitrary integer 2. We find that many of the invariants of the usual block theory (ie. when # is prime) generalize in a natural fashion to this new context.
Representations of the Generalized Symmetric Groups
, 1996
"... this paper is to construct a full set of irreducible, inequivalent representations of the generalised symmetric groups G(m; 1; n) in terms of msets of partitions of n and combinatorial concepts connected with generalised Young tableaux, etc. As a matter of fact, the irreducible representations of t ..."
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Cited by 2 (1 self)
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this paper is to construct a full set of irreducible, inequivalent representations of the generalised symmetric groups G(m; 1; n) in terms of msets of partitions of n and combinatorial concepts connected with generalised Young tableaux, etc. As a matter of fact, the irreducible representations
On The Representations Of The Infinite Symmetric Group
, 1997
"... We classify all irreducible admissible representations of three Olshanski pairs connected to the infinite symmetric group S(1). In particular, our methods yield two simple proofs of the classical Thoma's description of the characters of S(1). ..."
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Cited by 17 (1 self)
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We classify all irreducible admissible representations of three Olshanski pairs connected to the infinite symmetric group S(1). In particular, our methods yield two simple proofs of the classical Thoma's description of the characters of S(1).
Results 1  10
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7,197