scholarly journals Representation Theory of the Nonstandard Hecke Algebra

2014 ◽  
Vol 18 (3) ◽  
pp. 585-612 ◽  
Author(s):  
Jonah Blasiak
Keyword(s):  
Representation Theory ◽  
Hecke Algebra

scholarly journals Hecke C*-Algebras, Schlichting Completions and Morita Equivalence

2008 ◽  
Vol 51 (3) ◽  
pp. 657-695 ◽  
Author(s):  
S. Kaliszewski ◽  
Magnus B. Landstad ◽  
John Quigg
Keyword(s):  
Normal Subgroup ◽  
Representation Theory ◽  
Direct Product ◽  
Open Subgroup ◽  
Hecke Algebra ◽  
Morita Equivalence ◽  
Compact Open Subgroup ◽  
C Algebras ◽  
Extended Analysis

AbstractThe Hecke algebra of a Hecke pair (G, H) is studied using the Schlichting completion (Ḡ, ), which is a Hecke pair whose Hecke algebra is isomorphic to and which is topologized so that is a compact open subgroup of Ḡ. In particular, the representation theory and C*-completions of are addressed in terms of the projection using both Fell's and Rieffel's imprimitivity theorems and the identity . An extended analysis of the case where H is contained in a normal subgroup of G (and in particular the case where G is a semi-direct product) is carried out, and several specific examples are analysed using this approach.

scholarly journals ON REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS

2011 ◽  
Vol 26 (11) ◽  
pp. 795-803 ◽  
Author(s):  
O. V. OGIEVETSKY ◽  
L. POULAIN D'ANDECY
Keyword(s):  
Representation Theory ◽  
Hecke Algebras ◽  
Hecke Algebra ◽  
Cyclotomic Hecke Algebra ◽  
Cyclotomic Hecke Algebras

An approach, based on Jucys–Murphy elements, to the representation theory of cyclotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra) of the set of the Jucys–Murphy elements is established. A basis of the cyclotomic Hecke algebra is suggested; this basis is used to establish the flatness of the deformation without using the representation theory.

A NEW ALGEBRA FROM THE REPRESENTATION THEORY OF FINITE GROUPS

1999 ◽  
Vol 11 (07) ◽  
pp. 929-945 ◽  
Author(s):  
J. JUYUMAYA
Keyword(s):  
Representation Theory ◽  
Finite Groups ◽  
Knot Theory ◽  
Hecke Algebra ◽  
Definition Of

In this work we define a new algebra. The definition of our algebra arises naturally in the study of certain generators (non standard) for Yokonuma–Hecke algebra [8]. This algebra is linked to the Knot theory via the Vassiliev algebra defined by J. Baez [2].

scholarly journals Representation theory of the Yokonuma–Hecke algebra

2014 ◽  
Vol 259 ◽  
pp. 134-172 ◽  
Author(s):  
Maria Chlouveraki ◽  
Loïc Poulain d'Andecy
Keyword(s):  
Representation Theory ◽  
Hecke Algebra

scholarly journals A note on the representation theory of the Hecke algebra of type F4

1997 ◽  
Vol 39 (1) ◽  
pp. 43-50 ◽  
Author(s):  
C. A. Pallikaros
Keyword(s):  
Representation Theory ◽  
Hecke Algebras ◽  
Hecke Algebra

In [4] Dipper and James investigated the representation theory of Hecke algebras of type Bn, H(Bn). Using the results in [4] and exploiting the fact that the Hecke algebra of type F4, denoted by H(W), contains two copies of H(B3) certain right ideals of H(W) will be constructed in this paper. These right ideals will be proved to be irreducible on the assumption that H(W) is semisimple.

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