In mathematics, an affine Hecke algebra is the algebra associated to an affine Weyl group, and can be used to prove Macdonald's constant term conjecture...

Iwahori–Hecke algebra, or Hecke algebra, named for Erich Hecke and Nagayoshi Iwahori, is a deformation of the group algebra of a Coxeter group. Hecke algebras...

Finitely-generated algebra Affine Hecke algebra This disambiguation page lists articles associated with the title Affine algebra. If an internal link led you...

In mathematics, a double affine Hecke algebra, or Cherednik algebra, is an algebra containing the Hecke algebra of an affine Weyl group, given as the...

mathematics, a Hecke algebra is classically the algebra of Hecke operators studied by Erich Hecke. It may also refer to one of several algebras generalizing...

In mathematics, the Hecke algebra of a pair (G, K) of locally compact or reductive Lie groups is an algebra of measures under convolution. It can also...

Iwahori–Hecke algebra Affine Hecke algebra Double affine Hecke algebra Hecke algebra (disambiguation) Hecke character Hecke congruence subgroup Hecke correspondence...

groups that involves the Yangian of slN and the degenerate affine Hecke algebra (graded Hecke algebra of type A, in George Lusztig's terminology). Representations...

certain non-reduced root systems. They have deep relationships with affine Hecke algebras and Hilbert schemes, which were used to prove several conjectures...

affine Hecke algebras in the same way that the group rings of affine braid groups have quotients that are affine Hecke algebras. For affine An groups, the...

In case G is a linear algebraic group, it is an affine algebraic variety in affine N-space. The topology on the adelic algebraic group G ( A ) {\displaystyle...

mathematics, an affine braid group is a braid group associated to an affine Coxeter system. Their group rings have quotients called affine Hecke algebras. They...

ring). *-algebra Affine Lie algebra Akivis algebra Algebra for a monad Albert algebra Alternative algebra AW*-algebra Azumaya algebra Banach algebra Birman–Wenzl...

double affine Hecke algebras, and used them to prove Macdonald's constant term conjecture in (Cherednik 1995). He has also dealt with algebraic geometry...

an affine root system is a root system of affine-linear functions on a Euclidean space. They are used in the classification of affine Lie algebras and...

Macdonald died on 8 August 2023, at the age of 94. Macdonald, I. G. Affine Hecke Algebras and Orthogonal Polynomials. Cambridge Tracts in Mathematics, 157...

with their addition and multiplication, the coordinate ring of an affine algebraic variety, and the ring of integers of a number field. Examples of noncommutative...

corresponding Hecke algebra and the general linear group by an appropriate quantum group. There are also generalized q-Schur algebras, which are obtained...

geometric group theory. Buekenhout geometry Coxeter group (B, N) pair Affine Hecke algebra Bruhat decomposition Generalized polygon Mostow rigidity Coxeter...

in mathematics and related fields. Iwahori–Hecke algebra Quantum affine algebra Quantum enveloping algebra Quantum group Jackson integral q-derivative...

statistical mechanics. Quantum affine algebras Yang–Baxter equation Quantum group Affine Hecke algebra Kac–Moody algebra Two-dimensional conformal field...

several completely unexpected areas, including representations of the affine Hecke algebras at roots of 1 (generalising results of Kazhdan and Lusztig), the...

Complex reflection group Coxeter element Iwahori–Hecke algebra, a quantum deformation of the group algebra Kazhdan–Lusztig polynomial Longest element of...

of Kediri Kingdom in East Java DAHA, the abbreviation for double affine Hecke algebra Daha ("More"), a 2017 Turkish film, directed by Onur Saylak Macro-Daha...

harmonic Hecke operator Representation theory of the symmetric group Representation theory of diffeomorphism groups Permutation representation Affine representation...

the representation theory of quantum groups, modular Lie algebras and affine Hecke algebras are all tightly controlled by appropriate analogues of Kazhdan–Lusztig...

papers/preprints) "Xuhua He: Affine Hecke algebras and p-adic groups I". YouTube. Harvard Math. December 20, 2015. "Xuhua He: Affine Hecke algebras and p-adic groups...

Hall–Littlewood polynomials. They are known to have deep relationships with affine Hecke algebras and Hilbert schemes, which were used to prove several conjectures...

topics have included representation theory, Hecke algebra, Schur–Weyl duality, Yangians, and quantum affine algebras. She earned a doctorate in 1993 at the...

Macdonald-Koornwinder polynomials have also been studied with the aid of affine Hecke algebras. The Macdonald-Koornwinder polynomial in n variables associated...