We examine rings that embed into the smash product of the group algebra of the Weyl group with the field of meromorphic functions on the Cartan subalgebra and are generated by elements that satisfy braid relations. We prove that every such ring is isomorphic to either the Hecke algebra, the nil Hecke ring, or the ...

We examine rings that embed into the smash product of the group algebra of the Weyl group with the field of meromorphic functions on the Cartan subalgebra and are generated by elements that satisfy braid relations. We prove that every such ring is isomorphic to either the Hecke algebra, the nil Hecke ring, or the ...

des alg`ebres de Hecke et des alg`ebres de Ariki-Koike (Modular representations of Hecke algebras�esentations des alg`ebres de Hecke de type An-1 et trace d'Ocneanu (Representations of Hecke algebras of type An-1-Shur algebras, � Canonical basis for ...

In this paper we show that the Deligne-Langlands-Lusztig classification of simple representations of an affine Hecke algebra remains valid if the parameter is not a root of the corresponding Poincare polynomial. This verifies a conjecture of Lusztig proposed in 1989.

Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques Persi analysis of a systematic scan version of the Metropolis algorithm. Our examples include generating random on interpreting Metropolis walks in terms of the multiplication in the Iwahori-Hecke algebra. 1. Introduction When

Multiplicative analogues of the shuffle elements of the braid group rings are introduced; in local representations they give rise to certain graded associative algebras (b-shuffle algebras). For the Hecke and BMW algebras, the (anti)-symmetrizers have simple expressions in terms of the multiplicative shuffles. The ...

. Then A is integrally closed in K and HK is a split semisimple algebra. By Tits deformation theorem (see [GP, Theorem 8. 3. Modular representations and canonical basic sets for Hecke algebras Let : A C be a ring of the canonical basic set. The main tool of the proof is the Lusztig asymptotic algebra. Theorem 3.1 ...

) is not separably equivalent to any finite p-group algebra over k. #12;Hochschild cohomology (A finitely generatedFinite generation of Hochschild cohomology of Hecke Algebras Markus Linckelmann University of Aberdeen June 22, 2010 #12;Let A be a finite-dimensional algebra over a field k. The Hochschild cohomology

The purpose of this paper is to describe a general procedure for computing analogues of Young's seminormal representations of the symmetric groups. The method is to generalize the Jucys-Murphy elements in the group algebras of the symmetric groups to arbitrary Weyl groups and Iwahori-Hecke algebras. The combinatorics of these elements ...

show that the de#12;nition of canonical basic set can be extended to the case of Ariki-Koike algebras in the introduction. Let K = C (v) and let HK be the corresponding Hecke algebra. Then A is integrally closed in K and canonical basic sets for Hecke algebras Let #18; : A ! C be a ring ...

We study blocks of the Iwahori-Hecke algebra {cal H}_q (frak{S}_n) of weight two over a field of characteristic two. Using techniques and notation developed by Scopes, Richards, Chuang and Tan for the case of odd characteristic, we find the decomposition numbers and classify extensions between simple modules for these blocks.

of length 0 elements. Then W = Wa . #12;Introduction Harmonic analysis Noncommutative geometry The Plancherel of length 0 elements. Then W = Wa . #12;Introduction Harmonic analysis Noncommutative geometry The PlancherelIntroduction Harmonic analysis Noncommutative geometry Hecke algebras and harmonic analysis Eric

The purpose of this article is to construct a Hecke-equivariant Chow motive whose realizations equal interior (or intersection) cohomology of Hilbert-Blumenthal varieties with non-constant algebraic coefficients.

The Yamada polynomial for embeddings of graphs is widely generalized by using knit semigroups and polytangles. To construct and investigate them, we use a diagrammatic method combined with the theory of algebras H N,M(a,q), which are quotients of knit semigroups and are generalizations of Iwahori-Hecke algebras H n(q). Our invariants ...

modules for Iwahori�Hecke algebras. In a series of papers [5, 6, 7], Chuang, Miyachi and Tan have for the pair of columns jh, jh + 1. We say that the j-configuration of is D, E, F, G, H, I or J, where-analogues of regularisation theorems for representations of the symmetric group 21 [5] J. Chuang, H. Miyachi & K. M. Tan, `Row

filtrations of Specht modules for Iwahori-Hecke algebras. In a series o* *f papers [5, 6, 7], Chuang, Miyachi, there are seven possible configurations for the pair of columns jh; * *jh + 1. We say that the j

of the finite special linear gro* *ups in non- describing characteristics, J. Algebra, 215 (1999), 73 Representations of Chevalley Groups, Finite and Algebraic, J. Algebr* *a 166-2 (1994), 340-356. _ A.A. Khammash #12; Travaux, ouvrages, articles. [1981]. Collaboration au livre de D. Perrin Cours d'algebre, Presses de

with the desired properties, built as a colimit in ALG (the category of -algebraic lattices and Scott continuous-known property of PA of being a colimit in ALG for a -chain generated by the functor F(X) = [X X], does not hold in ALG. In the paper we show how it is possible to recover a good categorical char- acterization of 1

elliptic curves over Q in 2001 [BCDT], generalizing work done by Andrew Wiles and Richard Taylor in 1995 (2008), 183�239. [TW] Richard Taylor and Andrew Wiles, Ring theoretic properties of certain Hecke algebras, Annals of Math. 141 (1995), 553�572. #12; 17 [W] Andrew Wiles, Modular elliptic curves and Fermat

elliptic curves over Q in 2001 [BCDT], generalizing work done by Andrew Wiles and Richard Taylor in 1995 (2008), 183-239. [TW] Richard Taylor and Andrew Wiles, Ring theoretic properties of certain Hecke algebras, Annals of Math. 141 (1995), 553-572. #12;17 [W] Andrew Wiles, Modular elliptic curves and Fermat

elliptic curves over Q in 2001 [BCDT], generalizing work done by Andrew Wiles and Richard Taylor in 1995 108 (2008), 183-239. [TW] Richard Taylor and Andrew Wiles, Ring theoretic properties of certain Hecke algebras, Annals of Math. 141 (1995), 553-572. #12;17 [W] Andrew Wiles, Modular elliptic curves and Fermat

The number ?q = 2 cos ?/q, q?N, q>=3,, appears in the study of Hecke groups which are Fuchsian groups, and in the study of regular polyhedra. There are many results about the minimal polynomial of this algebraic number. Here we obtain the minimal polynomial of this number by means of the better known Chebycheff polynomials for odd q and give some of ...

A class of mathematical dualities have played a central role in mapping states in gauge theory to states in the spacetime string theory dual. This includes the classical Schur-Weyl duality between symmetric groups and Unitary groups, as well as generalisations involving Brauer and Hecke algebras. The physical string dualities involved include examples from ...

-P15 hold. If C and C are two left cells in W with respect to a weight function L, then dim HomW ([C hold and that the left cell modules of W with respect to a weight function L are multiplicity that the shapes of the standard domino tableaux of rank r repre- senting a left cell of weight s determine its Wn

-WeilConjecture IsAnnounced Henri Darmon On June 23, 1993, Andrew Wiles unveiled his strat- egy for proving, Pacific J. Math., Special Issue (1997), 337�347. [TW]RICHARD TAYLOR and ANDREW WILES, Ring-theoretic properties of certain Hecke algebras, Ann. of Math. (2) 141 (1995), 553�572. [W] ANDREW WILES, Modular

On June 23, 1993, Andrew Wiles unveiled his strategy for proving the Shimura-Taniyama-Weil conjecture: in memoriam. Pacific J. Math. 1997, Special Issue, 337�347. [TW] Taylor, Richard; Wiles, Andrew. Ring-theoretic properties of certain Hecke algebras. Ann. of Math. (2) 141 (1995), no. 3, 553�572. [W] Wiles, Andrew

Let G be a reductive p-adic group, H(G) its Hecke algebra and S(G) its Schwartz algebra. We will show that these algebras have the same periodic cyclic homology. This might be used to provide an alternative proof of the Baum-Connes conjecture for G, modulo torsion. As preparation for our main theorem we prove two ...

We give a presentation of the endomorphism algebra End_{mathcal {U}q(mathfrak {sl}2)}(V^{? r}) , where V is the three-dimensional irreducible module for quantum {mathfrak {sl}_2} over the function field {mathbb {C}(q^{1/2})} . This will be as a quotient of the Birman-Wenzl-Murakami algebra BMW r ( q) : = BMW r ( q ?4, q 2 ? q ?2) by an ideal generated by a ...

"Explicit formulas" in number theory express the sum of values of a function at the zeros of an L-series of an algebraic number field as a sum of local terms corresponding to all norms of this field. For the case of Hecke L-series, such formulas were found earlier by the author. In this paper they are derived for Artin-Hecke series ...

In this paper we introduce Baxter integral {mathcal{Q}} -operators for finite-dimensional Lie algebras {mathfrak{gl}_{ell+1}} and {mathfrak{so}_{2ell+1}} . Whittaker functions corresponding to these algebras are eigenfunctions of the {mathcal{Q}}-operators with the eigenvalues expressed in terms of Gamma-functions. The appearance of the Gamma-functions is ...

We survey some of the known results on the relation between the homology of the {\\em full} Hecke algebra of a reductive $p$-adic group $G$, and the representation theory of $G$. Let us denote by $\\CIc(G)$ the full Hecke algebra of $G$ and by $\\Hp_*(\\CIc(G))$ its periodic cyclic homology groups. Let $\\hat G$ ...

The problem of quantizing a class of two-dimensional integrable quantum field theories is considered. The classical equations of the theory are complex sl(n) affine Toda equations which admit soliton solutions with real masses. The classical scattering theory of the solitons is developed using Hirota's solution techniques. A form for the soliton S matrix is proposed based on the ...

. We give the rst analysis of a systematic scan version of the Metropolis algorithm. Our examples include generating random elements of a Coxeter group with probability determined by the length function. The analysis is based on interpreting Metropolis walks in terms of the multiplication in the Iwahori-Hecke algebra. 1. Introduction When faced with a ...

this research was carried out. 1 #12;We begin by considering the universal Weierstrass cubic Ell/R: Ell: Y 2 = 4X3 gradings 4, 6 to X, Y respectively. Given any Z(1/6) algebra S, a homomorphism : R - S induces a cubic Ell /S: Y 2 = 4X3 - (g2)X - (g3). If we ensure that the discriminant Ell = g3 2 - 27g2 3 is mapped non

of the first (note that Hecke algebras are not positively graded.) In this paper, we answer positively (, s). We put x = x(())wb. Then, by the Kazhdan-Lusztig theory, C wax = v(wax) yW Py,wax(v-2 )v-(y) Ty is bar-invariant. As (12) W aW � {x() | aW} we have C wax = v(wax) aW uaW Pux(),wax(v-2 )v-(u)-(x()) Tu

We introduce some braided varieties�braided orbits�by considering quotients of the so-called Reflection Equation Algebras associated with Hecke symmetries (i.e. special type solutions of the quantum Yang�Baxter equation). Such a braided variety is called regular if there exists a projective module on it, which is a counterpart of the cotangent bundle ...

We compute the Picard group $ Pic(A_q) $ of the noncommutative algebraic 2-torus $A_q$, describe its action on the space $ R(A_q) $ of isomorphism classes of rk 1 projective modules and classify the algebras Morita equivalent to $ A_q $. Our computations are based on a quantum version of the Calogero-Moser correspondence relating projective $A_q$-modules ...

The main goal of this review is to compare different approaches to constructing the geometry associated with a Hecke type braiding (in particular, with that related to the quantum group Uq(sl(n))). We place emphasis on the affine braided geometry related to the so-called reflection equation algebra (REA). All objects of such a type of geometry are defined ...

From conference on group theory; Racine, Wisconsin, USA (28 Jun 1972). The topics discussed are the structure of Hecke algebras, locally extended residually finite groups, the conjugacy problem for Knot groups, exceptional primes in varieties, group with free subgroups of finite index, free subgroups of linear groups, groups of exponent four IV, ...

LETTER1494 Novel Medium Ring Sized Estradiol Derivatives by Intramolecular Heck Reactions NovelMediumRingSizedEstradiol and an intramolecular Heck reaction. Key words: carbocycles, steroids, Grignard reactions, Heck reac- tion, estradiol derivatives The Heck reaction is a powerful synthetic tool for the con- ...

This dataset holds the observations recorded during the GEO Biodiversity Day 'Hecke - Klassen 2 a und 2 b VS Tussenhausen' in Tussenhausen...

An unprecedented cascade Heck-Aldol-Heck reaction was developed to form two C-C single bonds and one C=C double bond in one process by a combination of palladium(0) catalysis and aminocatalysis. Various aryl iodides could perform the cascade reaction with readily available propenol and formaldehyde to afford novel (E)-trisubstituted alkenes in 66-81% yields. PMID:21331414