Results 21 to 30 of about 1,077,663 (191)
A deformation of affine Hecke algebra and integrable stochastic particle system [PDF]
, 2014 We introduce a deformation of the affine Hecke algebra of type GL ?> which describes the commutation relations of the divided difference operators found by Lascoux and Schützenberger and the multiplication operators.
Y. Takeyama
semanticscholar +1 more source
Some Methods of Computing First Extensions Between Modules of Graded Hecke Algebras [PDF]
Algebras and Representation Theory, 2015 In this paper, we establish connections between the first extensions of simple modules and certain filtrations of of standard modules in the setting of graded Hecke algebras. The filtrations involved are radical filtrations and Jantzen filtrations.
K. Chan
semanticscholar +1 more source
Braided Weyl algebras and differential calculus on U(u(2)) [PDF]
, 2011 On any Reflection Equation algebra corresponding to a skew-invertible Hecke symmetry (i.e. a special type solution of the Quantum Yang-Baxter Equation) we define analogs of the partial derivatives.
Berezin +22 more
core +1 more source
The Lerch zeta function IV. Hecke operators [PDF]
, 2015 This paper studies algebraic and analytic structures associated with the Lerch zeta function. It defines a family of two-variable Hecke operators $$\{ \mathrm{T}_m: \, m \ge 1\}$${Tm:m≥1} given by $$\mathrm{T}_m(f)(a, c) = \frac{1}{m} \sum _{k=0}^{m-1} f(
J. Lagarias, W. Li
semanticscholar +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2008 This paper builds on the previous paper by the author, where a relationship between Zhedanov's algebra AW(3) and the double affine Hecke algebra (DAHA) corresponding to the Askey-Wilson polynomials was established.
Tom H. Koornwinder
doaj +1 more source
A realization of the Hecke algebra on the space of period functions for Gamma_0(n)
, 2006 The standard realization of the Hecke algebra on classical holomorphic cusp forms and the corresponding period polynomials is well known. In this article we consider a nonstandard realization of the Hecke algebra on Maass cusp forms for the Hecke ...
D Mayer +3 more
core +1 more source
On the trace formula for Hecke operators on congruence subgroups, II [PDF]
, 2014 In a previous paper, we obtained a general trace formula for double coset operators acting on modular forms for congruence subgroups, expressed as a sum over conjugacy classes. Here we specialize it to the congruence subgroups $$\Gamma _0(N)$$Γ0(N) and $$
Alexandru Popa
semanticscholar +1 more source
JCMS: Journal of Common Market Studies, EarlyView.Abstract This study investigates how mainstream Europarties utilise social media to communicate with the public. According to EU law, Europarties are expected to strengthen the EU's legitimacy, mainly by fostering European political awareness and facilitating civic engagement.
Stefano Greco, Tapio Raunio
wiley +1 more source
Dirac cohomology for the degenerate affine Hecke Clifford algebra [PDF]
, 2015 We define an analogue of the Dirac operator for the degenerate affine Hecke-Clifford algebra. A main result is to relate the central characters of the degenerate affine Hecke-Clifford algebra with the central characters of the Sergeev algebra via Dirac ...
Chan, Kei Yuen
core
Modular Symbols and Hecke Operators [PDF]
, 2000 We survey techniques to compute the action of the Hecke operators on the cohomology of arithmetic groups. These techniques can be seen as generalizations in different directions of the classical modular symbol algorithm, due to Manin and Ash-Rudolph. Most of the work is contained in papers of the author and the author with Mark McConnell.
openaire +2 more sources