Hecke algebra
Quasiparabolic Subgroups of Coxeter Groups and Their Hecke Algebra Module Structures
... of Hecke algebras of Coxeter groups, and the Hecke algebra modules of quasiparabolic subgroups of Coxeter ...of Hecke algebra modules of quasiparabolic subgroups of finite classical ...
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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
Bloch Kato Conjecture for the Adjoint of H1(Xo(N)) with Integral Hecke Algebra
... While the title of this thesis is still paying tribute to Bloch and Kato, its emphasis is on the phrase “with the integral Hecke algebra,” indicating that we are actually dealing with Burns-Flach ...
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High Performance Computer Algebra: A Hecke Algebra Case Study
... for Hecke algebra representations is multi-phase and exhibits irregular parallelism over the com- plex control and data structures typical of computer ...medium-size Hecke algebra represen- ...
13
Integrable N-particle Hamiltonians with Yangian or reflection algebra symmetry
... affine Hecke algebra in terms of operators acting on wave functions, our main results are the construction of a general N -particle Hamiltonian and the proof that it admits the reflection algebra ...
18
Skein theoretic idempotents of Hecke algebras and quantum group invariants
... Let each Young diagram determine a vertex of a graph. An edge will join to if can be obtained from by removing one cell. Figure 2.1 shows the graph for Young diagrams with up to 7 cells, arranged in increasing size down ...
180
On double cosets with the trivial intersection property and Kazhdan-Lusztig cells in $S_n$
... associated Hecke algebra, Kazhdan and Lusztig introduced three partitionings of the Coxeter group, the parts of which they called left cells, right cells and two-sided ...
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ON THE FAITHFULNESS OF JONES-WENZL REPRESENTATION OF THE BRAID GROUP $B_{4}$
... Hecke algebra representations of the braid groups in the root of unity case are indexed by two parameters: a compact Lie group and an integer l ≥ 1, called the level of the ...
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Idempotents of Hecke algebras of type A.
... There are various presentations of the Hecke algebra in the literature. Here we have used a coecient ring with 3 variables xv and z . The variable v is needed in the skein when we want to write a general ...
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Murphy operators in Knot Theory
... I first heard about the Murphy operators on my previous visit to Nankai ten years ago for a statistical mechanics satellite meeting. At that meeting Chakrabarti gave a talk about the properties of what he termed the ...
9
Ordinary Mod p Representations of the Metaplectic Cover of p-adic SL₂
... spherical Hecke algebra of an unramified connected reductive group with the group algebra of its antidominant ...spherical Hecke algebras with respect to all irreducible representations of the ...
158
Idempotents of Hecke algebras of type A.
... There are various presentations of the Hecke algebra in the literature. Here we have used a coefficient ring Λ with 3 variables x, v and z. The variable v is needed in the skein when we want to write a ...
28
The parabolic algebra on Lp spaces
... Neumann algebra B (L 2 ( R )) of all bounded ...operator algebra generated by the semigroups for µ ≥ 0 and λ ≥ 0 is a reflexive algebra, in the sense of Halmos [18], containing no self-adjoint ...
16
On the structure of Leibniz algebras whose subalgebras are ideals or core-free
... We show also another example which is typical in some sense. Let L be a cyclic nilpotent Leibniz algebra of dimension 3. That is, L = F a⊕F b⊕F c, where b = [a, a], c = [a, b]. Here, Leib(L) = F b ⊕ F c. If A is a ...
15
Finitely generated left ideals in Banach algebras on groups and semigroups
... a left ideal if and only if G is finite. We then investigate weighted versions of this result, as well as a version for semigroup algebras. Weighted measure algebras are also considered. We are motivated by a recent ...
36
Nuclear JC algebras and tensor products of types
... C*-algebras, Von Neumann algebra, nuclear C*-algebra, Jordan algebra, ./C-algebra, tensor products of operator algebras.. 1991 AMS SUBJECT CLASSIFICATION CODES.[r] ...
7
Some aspects of Leibniz algebra theory
... The introduced here concepts of the upper and lower central series for Leibniz algebras are an analogous of others similar concepts, which became standard in several algebraic structures. They play an important role, for ...
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PP 2018 15: Constructing illoyal algebra valued models of set theory
... Grayson, R. J. (1979). Heyting-valued models for intuitionistic set theory. In Fourman, M. P., Mulvey, C. J., and Scott, D. S., editors, Applications of sheaves, Proceedings of the Research Symposium on Applications of ...
14
The Structure of Pseudo-BF /BF*-algebra
... Proof. Let (E; ≤, •, ?, 0) be a pseudo-BCK-algebra. The axioms (pBF (1’)), (pBF (4’)) are clearly the axioms (pBCK(3)), (pBCK(6)). Put b = 0 in (Theorem 2 (2)) we get a•0 ≤ a and a?0 ≤ a. Then the axiom (pBF (2’)) ...
15
The groups of automorphisms of the Witt W (n) and Virasoro Lie algebras
... Corollary 3.2. Let G be a Lie algebra, Z a subspace of the centre of G and W = G/Z. Fix a K-linear map s: W → G which is a section to the surjection π : G → W , a 7→ a + Z, and identify W with im(s), and so G = W ...
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