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 algebraic oriented cohomology theory.

Abstract ... We also introduce a formal (affine) Hecke algebra. We show that the specialization of the formal (affine) Hecke algebra to the additive and ...

formal hecke algebras and algebraic oriented cohomology theories

FORMAL HECKE ALGEBRAS AND ALGEBRAIC ORIENTED COHOMOLOGY THEORIES. 3 characteristic class ch. 1 of a tensor product of two line bundles, ch. 1(L1 ⊗L2) = F(ch. 1 ...

Formal Hecke algebras and algebraic oriented cohomology theories

Formal Hecke algebras and algebraic oriented cohomology theories. Alex Hoffnung · José Malagón-López ·. Alistair Savage · Kirill Zainoulline. Published online ...

Formal Hecke algebras and algebraic oriented cohomology theories

Geometric constructions of Hecke-type algebras. 4. Algebraic oriented cohomology theories and formal group laws. 5. Formal (affine) Demazure ...

Formal Hecke algebras and algebraic oriented cohomology theories

We show that all formal affine Demazure algebras (and all formal affine Hecke algebras) become isomorphic over certain coefficient rings, ...

arXiv:1208.4114v4 [math.RA] 27 Mar 2014

... formal group laws (FGLs), with the link being provided by the Quillen. Page 3. FORMAL HECKE ALGEBRAS AND ALGEBRAIC ORIENTED COHOMOLOGY THEORIES.

Formal Hecke algebras and oriented cohomology theories ...

... oriented cohomology theory of Levine and Morel, e.g. to Chow groups, connective K-theory, elliptic cohomology, or algebraic cobordism. In particular, we ...

Formal Hecke algebras and algebraic oriented cohomology theories ...

Article on Formal Hecke algebras and algebraic oriented cohomology theories, published in Selecta Mathematica 20 on 2013-07-06 by Alex Hoffnung+3.

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 ...

1096-16-1800

Formal Hecke algebras and algebraic oriented cohomology theories. We define two families of algebras depending on a formal group law associated to an ...

Formal Hecke algebras and algebraic oriented cohomology theories ...

Formal Hecke algebras and algebraic oriented cohomology theories. Collection: arxiv; additional_collections; journals. Item Size: 15.6M. Addeddate: 2013-09-21 ...

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.

geometric representations of the formal affine hecke algebra

Examples of oriented cohomology theories include the Chow ring CH∗ (see. [Ful98]), the K-theory, the elliptic cohomologies, and the algebraic cobordism theory Ω ...

Geometric representations of the formal affine Hecke algebra

Coming from this formal group law, there is also an oriented cohomology theory ... formal group law comes from a 1-dimensional algebraic group.

ON THE FORMAL AFFINE HECKE ALGEBRA | Cambridge Core

, Formal Hecke algebras and algebraic oriented cohomology theories, Selecta Math. to appear.Google Scholar. 8. Kostant, B. and Kumar, S., The nil Hecke ring ...

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Formal Hecke algebras and algebraic oriented cohomology theories. Calmes, B.; Petrov, V.; Zainoulline, K. Invariants, torsion indices and cohomology of ...

Research objectives

Formal Hecke algebras and algebraic oriented cohomology theories. Selecta Math. 20 (2014), no.4, 1213--1245. In the present paper we generalize the ...

oriented cohomology Latest Research Papers - ScienceGate

For a symplectically oriented cohomology theory A A , including oriented theories ... scholarly journals Erratum to: Formal Hecke algebras and algebraic oriented ...

parabolic kazhdan-lusztig basis, schubert classes, and equivariant ...

FGLs and algebraic oriented cohomology theories. If h denotes the oriented ... Zainoulline, Formal Hecke algebras and algebraic oriented coho- mology ...