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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...

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...

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...

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...

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...

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

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...

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...

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...

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...

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

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...

In Hecke algebra, an involution is important to the Kazhdan–Lusztig polynomial. The endomorphism ring of an elliptic curve becomes a *-algebra over...

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

classical Schur algebras. There are further generalizations, such as the affine q-Schur algebras related to affine Kac–Moody Lie algebras and other generalizations...

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...