Hodge modules, equivariant {$K$}-theory and Hecke algebras
نویسندگان
چکیده
منابع مشابه
Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory
We show that the Young tableaux theory and constructions of the irreducible representations of the Weyl groups of type A, B and D, Iwahori-Hecke algebras of types A, B, and D, the complex reflection groups G(r, p, n) and the corresponding cyclotomic Hecke algebras Hr,p,n, can be obtained, in all cases, from the affine Hecke algebra of type A. The Young tableaux theory was extended to affine Hec...
متن کاملAane Hecke Algebras, Cyclotomic Hecke Algebras and Cliiord Theory
We show that the Young tableaux theory and constructions of the irreducible representations of the Weyl groups of type A, can be obtained, in all cases, from the aane Hecke algebra of type A. The Young tableaux theory was extended to aane Hecke algebras (of general Lie type) in recent work of A. Ram. We also show how (in general Lie type) the representations of general aane Hecke algebras can b...
متن کاملHecke Modules for Arithmetic Groups via Bivariant K-theory
Let Γ be a lattice in a locally compact group G. In earlier work, we used KKtheory to equip the K-groups of any Γ-C∗-algebra on which the commensurator of Γ acts with Hecke operators. When Γ is arithmetic, this gives Hecke operators on the K-theory of certain C ∗-algebras that are naturally associated with Γ. In this paper, we first study the topological Ktheory of the arithmetic manifold assoc...
متن کاملCanonical equivariant extensions using classical Hodge theory
In [4], Lin and Sjamaar show how to use symplectic Hodge theory to obtain canonical equivariant extensions of closed forms in Hamiltonian actions of compact connected Lie groups on closed symplectic manifolds which have the strong Lefschetz property. In this paper, we show how to do the same using classical Hodge theory. This has the advantage of applying far more generally. Our method makes us...
متن کاملEquivariant K-theory
Topological K-theory [2] has many variants which have been developed and exploited for geometric purposes. There are real or quaternionic versions, “Real” K-theory in the sense of [1], equivariant K-theory [14] and combinations of all these. In recent years K-theory has found unexpected application in the physics of string theories [6, 12, 13, 16] and all variants of K-theory that had previousl...
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: Publications of the Research Institute for Mathematical Sciences
سال: 1987
ISSN: 0034-5318
DOI: 10.2977/prims/1195176035