Hecke algebras and formal group laws

Summary: We define two families of algebras depending on a formal group law associated to an algebraic oriented cohomology theory. These recover.

Formal Hecke algebras and algebraic oriented cohomology theories

We show that the specialization of the formal (affine) Hecke algebra to the additive and multiplicative periodic formal group laws gives ...

Geometric representations of the formal affine Hecke algebra

For any formal group law, there is a formal affine Hecke algebra defined by Hoffnung–Malagón-López–Savage–Zainoulline.

Formal Hecke algebras and oriented cohomology theories ...

... Hecke algebra at the additive and multiplicative formal group laws. In general, this family of formal Hecke algebras satisfies equations that we call Â ...

formal hecke algebras and algebraic oriented cohomology theories

multiplicative periodic formal group laws yields completions of the nil Hecke and the 0-Hecke ... Hecke algebra, oriented cohomology, formal group law, Demazure ...

Geometric representations of the formal affine Hecke algebra - arXiv

Abstract:For any formal group law, there is a formal affine Hecke algebra defined by Hoffnung, Malagón-López, Savage, and Zainoulline.

A category theoretic approach to formal group laws - Alistair Savage

These ideas have connections to Hecke algebras (see [7]) and the geometry of. Steinberg varieties (see [8]). The purpose of this paper is to serve as an ...

Formal Hecke algebras and algebraic oriented cohomology theories

Summary: Motivated by geometric constructions, we define two families of algebras depending on a formal group law associated to an algebraic.

Hecke algebra in nLab

They often appear as convolution algebras or as double coset spaces. For p-adic algebraic groups Hecke algebras often play a role similar a Lie ...

Talk page - VideoArxiv

Hecke Algebras and Formal Group Laws. Speaker: Alistair Savage. Link: https://video-archive.fields.utoronto.ca/view/1050. Workshop:.

Formal Hecke algebras and algebraic oriented cohomology theories

Abstract In the present paper, we generalize the construction of the nil Hecke ring of Kostant–Kumar to the context of an arbitrary formal group law, ...

geometric representations of the formal affine hecke algebra

Coming from this formal group law, there is also an oriented cohomology theory. We identify the formal affine Hecke algebra with a convolution algebra coming.

Formal Hecke algebras and algebraic oriented cohomology theories

In the present paper, we generalize the construction of the nil Hecke ring of Kostant–Kumar to the context of an arbitrary formal group law, in particular, ...

ON THE FORMAL AFFINE HECKE ALGEBRA | Cambridge Core

We also define a concept called the normal formal group law, which we use to simplify the relations of the generators of the formal affine Demazure algebra and ...

On the formal affine Hecke algebra - NASA/ADS

... Hecke algebra has a basis indexed by the Weyl group as a module over the formal group algebra. We also define a concept called the normal formal group law ...

Formal Hecke algebras and algebraic oriented cohomology theories ...

In the present paper, we generalize the construction of the nil Hecke ring of Kostant–Kumar to the context of an arbitrary formal group law, in particular, ...

Complete group rings as Hecke algebras - ScienceDirect.com

We consider the Hecke algebra of a profinite group G and establish relation between its dual (the algebra of distributions) and the complete group algebra of G.

What are...Hecke algebras? - YouTube

Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time.

ON THE FORMAL AFFINE HECKE ALGEBRA - Cambridge ...

... formal affine Demazure algebra and the formal affine Hecke algebra. Keywords: formal group law; affine Hecke algebra; formal group algebra. 2010 Mathematics ...

Definitions of Hecke algebras - MathOverflow

A Hecke algebra describes the most reasonable way to convolve functions or measures on a homogeneous space. Suppose that you have seen the ...