The pro-pIwahori Hecke algebra of a reductivep-adic group, V (parabolic induction)
نویسندگان
چکیده
منابع مشابه
On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex reflection group $G_7$
We consider a 2-dimensional representation of the Hecke algebra $H(G_7, u)$, where $G_7$ is the complex reflection group and $u$ is the set of indeterminates $u = (x_1,x_2,y_1,y_2,y_3,z_1,z_2,z_3)$. After specializing the indetrminates to non zero complex numbers, we then determine a necessary and sufficient condition that guarantees the irreducibility of the complex specialization of the repre...
متن کاملSome Hecke Algebras Associated to the P-adic Group Gl(v )
Let G be a locally compact, totally disconnected, Hausdorff topological group with a neighborhood basis {Ki}i of the identity consisting of compact, open, normal subgroups. Often K ⊂ G will denote a compact, open subgroup of G. We consider representations (ρ, V ) of G, where V is often infinite-dimensional. We say the representation is smooth if V = ∪KV K , i.e., if every v ∈ V is fixed by some...
متن کاملInner products on the Hecke algebra of the braid group
We point out that the Homfly polynomial (that is to say, Ocneanu’s trace functional) contains two polynomial-valued inner products on the Hecke algebra representation of Artin’s braid group. These bear a close connection to the Morton–Franks–Williams inequality. In these structures, the sets of positive, respectively negative permutation braids become orthonormal bases. In the second case, many...
متن کاملThe affine Hecke algebra
1 The affine Hecke algebra 1.1 The alcove walk algebra Fix notations for the Weyl group W , the extended affine Weyl group W , and their action on Ω × h * R as in Section 2. Label the walls of the alcoves so that the fundamental alcove has walls labeled 0, 1,. .. , n and the labeling is W-equivariant (see the picture in (2.12)). The periodic orientation is the orientation of the walls of the al...
متن کاملThe Hecke Group Algebra of a Coxeter Group and Its Representation Theory
Let W be a finite Coxeter group. We define its Hecke-group algebra by gluing together appropriately its group algebra and its 0-Hecke algebra. We describe in detail this algebra (dimension, several bases, conjectural presentation, combinatorial construction of simple and indecomposable projective modules, Cartan map) and give several alternative equivalent definitions (as symmetry preserving op...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2015
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2015.279.499