cohomology operations and the nil|hecke algebra

cohomology operations and the nil-hecke algebra

COHOMOLOGY OPERATIONS AND THE NIL-HECKE ALGEBRA. NITU KITCHLOO. CONTENTS. 1. Introduction. 1. 2. The Nil-Hecke Ring NH and the Steenrod Algebra. 1. 3. The ...

[2202.05785] Affine nil-Hecke algebras and Quantum cohomology

We construct a module action of the affine nil-Hecke algebra \hat{H}_*^{S^1 \times T}(LG/T) on the S^1 \times T-equivariant quantum cohomology of M

Hecke operators as operations in elliptic cohomology - ScienceDirect

Elliptic cohomology, p-adic modular forms and Atkin's operator Up. Algebraic Topology, Contemporary Mathematics, 96 (1989), pp. 33-38. CrossRef Google Scholar ...

Why is the Nil-Hecke Algebra appearing? - MathOverflow

Firstly, in the construction of Schubert polynomials (and hence implicitly in the calculation of the (ordinary or torus equivariant) cohomology ...

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G

(Kac-Moody algebra/Borel subalgebra/cohomology algebra/Schubert cells/smash product) ... W, and (iv) a module for Hecke-type operators A., for w E W. We ...

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.

The Nil Hecke Ring and Cohomology of G/P for a Kac-Moody Group ...

To any (not necessarily symmetrizable) generalized 1 x 1 Cartan matrix A, one associates a Kac-Moody algebra g = g(A) over C and group G = G(A).

Hecke operators in cohomology of groups - Project Euclid

Math. Soc. Japan. Vol. 22, No. 4, 1970. Hecke operators in cohomology of groups. By Y. H. RHIE and G. WHAPLES. (Received June 9, 1969). Given a group $G$ , with ...

Affine nil-Hecke algebras and quantum cohomology - ScienceDirect

We construct a module action of the affine nil-Hecke algebra ⁎ on the -equivariant quantum cohomology of M, ⁎. Our construction generalizes the theory of shift ...

DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ...

In fact, even to obtain 'interesting' operations with Z{p coefficients, we need at least that p divide Npqq ´ 1 (that is, that. Npqq “ 1 in the coefficient ring ...

Hecke operators as operations in elliptic cohomology

Given any Z(1/6) algebra S∗, a homomorphism ϕ:R∗ −→ S∗ induces a cubic. ϕ∗Ell /S∗:Y 2 = 4X3 − ϕ(g2)X − ϕ(g3). If we ensure that the discriminant. ∆Ell = g3. 2 − ...

dirac cohomology for graded affine hecke algebras

The ∗-operation, Hermitian and unitary representations. The algebra. H has a natural conjugate linear anti-involution defined on generators as follows. ([BM2 ...

Affine nil-Hecke algebras and quantum cohomology - Inspire HEP

Let G be a compact, connected Lie group and T⊂G a maximal torus. Let (M,ω) be a monotone closed symplectic manifold equipped with a ...

THE HECKE ALGEBRA ON THE COHOMOLOGY OF JYΛ) J)eΓ

THE HECKE ALGEBRA ON THE COHOMOLOGY. OF JYΛ). XIANGDONG WANG. § 1 ... The characteristical polynomials of the Hecke operators T2, T2, Tδ, and T7 on the.

DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ...

We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group Γ . Under favorable ...

[PDF] Affine nil-Hecke algebras and quantum cohomology

Quantum Steenrod operations of symplectic resolutions · Jae Hee Lee. Mathematics, Physics. 2023. We study the mod $p$ equivariant quantum cohomology of conical ...

Cohomology of arithmetic groups and congruences between ...

properties of systems of eigenvalues of Hecke operators acting on cohomology groups associated to automorphic forms over a reductive algebraic group G. When ...

Affine nil-Hecke algebras and Quantum cohomology - ResearchGate

Download Citation | Affine nil-Hecke algebras and Quantum cohomology | Let $G$ be a compact, connected Lie group and $T \subset G$ a maximal ...

Hochschild cohomology and quantum Drinfeld Hecke algebras

Levandovskyy and Shepler [LS] gave necessary and sufficient conditions on the functions κ for Hq,κ to be a quantum Drinfeld Hecke algebra. In this paper, we ...

The Hecke algebra action and the Rezk logarithm on Morava E ...

As an application, we obtain a vanishing result for Rezk's logarithmic cohomology operation on the units of E. It identifies a family of elements in the kernel ...