HECKE ALGEBRAS
Idempotents of Hecke algebras of type A.
... the Hecke algebras of type A to present three-dimensional diagrammatic views of Gyoja's idempotent el- ements, based closely on the corresponding Young diagram ...the Hecke algebras, namely ...
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Skein theoretic idempotents of Hecke algebras and quantum group invariants
... type A when q is a root of unity. We can show that the Littlewood-Richardson co- ecients for Hecke algebras at a root of unity calculated by Goodman and Wenzl [GW] are equal to our coecients b . In fact ...
180
Finite generation of Hochschild cohomology of Hecke algebras of finite classical type in characteristic zero
... for x, y ∈ X , x 6= y. Let now A be a symmetric k-algebra with symmetrising form s and let B be a unitary symmetric subalgebra of A such that A is finitely generated projective as a left (or equivalently, as a right) ...
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Idempotents of Hecke algebras of type A.
... the Hecke algebras of type A to present three-dimensional diagrammatic views of Gyoja’s idempotent el- ements, based closely on the corresponding Young diagram ...the Hecke algebras, namely ...
28
Topological Strings, Double Affine Hecke Algebras, and Exceptional Knot Homology
... DAHA and Refined Torus Knot Invariants Given the r, s-torus knot, a root system R, and a weight b, the corresponding DAHA-Jones polynomial was defined in [C5, C6] by the simple formula: [r] ...
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Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras
... 2. Standard subgroups. Our description of the Hochschild homology of Hecke al- gebras is in terms of “standard” subgroups, a class of commutative groups that we define and study below. The main role of the standard ...
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Ordinary Mod p Representations of the Metaplectic Cover of p-adic SL₂
... spherical Hecke algebras is quite similar to what is seen in characteristic 0: though we cannot translate the isomorphism of spherical Hecke algebras into a natural correspondence of all ...
158
Injective Schur modules
... We deal with the preliminary material in Section 1. In Section 2 we give an explicit description of the partitions satisfying the above injectivity condition. We then show that these partitions are exactly those ...
20
Modular decomposition numbers of cyclotomic Hecke and diagrammatic Cherednik algebras: a path theoretic approach
... large characteristic. We remark that over C , the approach presented here is in the same spirit of our earlier work [BCS17] (which covered the case Q 1,`,n (κ) ). However our main focus in this paper is the modular case. ...
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Knots and algebras
... the Hecke algebras, assuming the existence of P ( K ) : One important feature in the construction as presented here is the denition of the ring in which P ( K ) takes values, to be a subring of the more ...
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FURTHER RESULTS OF NEUTROSOPHIC SUBALGEBRAS IN BCK=BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS
... include Algebras re- lated to logic (BCK, BCI, BCC-algebras, Hilbert algebras, and implication algebras), soft algebraic structures, Algebraic Hyperstructures, Theory of derivations in ...
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ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY
... algebras kC, kD over k, unless the left and right Kan extensions of a functor D → C coincide (cf. [18]). This seems to be a rare phenomenon, however. Besides the categories of finite groups and their subgroups, one ...
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Commutator subgroups of the power subgroups of generalized Hecke groups
... Notice that some cases of the results are previously known, due partly to the relation between generalized Hecke groups and torus knot groups (e.g. the Theorem 1.1 in the case (m, p) = (m, q) = 1, as well as ...
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Hecke operators type and generalized Apostol-Bernoulli polynomials
... Our results are new and useful in applied mathematics and computation, analytic num- ber theory and related areas. There are many reasons for being interested by Hecke-type operators. In particular, these ...
11
Characters of the generic Hecke algebra of a system of bn pairs
... Corollary 2.1.3 shows how the linear_dependence of the columns of the character table of the generic Hecke algebra see definition 2.1.1 can be described in terms of the elements 6w,b of [r] ...
106
The generalized path algebras over standardly stratified algebras
... of central importance are the modules filtered by (co-)standard mod- ules (the precise meaning will be given later on) and characteristic tilting modules [11]. We will give the precise description of ∆−good module cat- ...
8
On Characterizing Nilpotent Lie algebras by their Multipliers
... By Theorem 4, we know that c 2 + c ≤ 2t where c = dimL 2 and t= t(L). If t =21 then c 2 + c ≤ 42 which implies that c ≤ 6 therefore c = 0, 1, 2, 3, 4,5 or 6 but by proposition 0 (i.e. t ≤ ½n(n-1)) and since n= c+2 for ...
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Infinite dimensional representations of finite dimensional algebras and amenability
... R of infinite representation type (that is the set of indecomposable modules Ind(R) in R-Mod is infinite) is called of amenable representation type, if R-Mod itself is a hyperfinite family. In the course of the paper, we ...
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Elementary Lie Algebras and Lie A Algebras
... Lie algebras are Lie A-algebras it follows from Propo- sition 2 of [21] that over a field of cohomological dimension ≤ 1 every semisimple elementary Lie algebra is representable as a direct sum of simple ...
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Schur Algebras over C* Algebras
... Since the algebra of bounded linear operators on a Hilbert space is the dual of the trace class operators under the trace norm, which is the closure in the trace norm of the set of matri[r] ...
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