Affine Hecke algebra

노트

위키데이터

• ID : Q4688934

말뭉치

1. Ivan Cherednik introduced generalizations of affine Hecke algebras, the so-called double affine Hecke algebra (usually referred to as DAHA).
2. Another main inspiration for Cherednik to consider the double affine Hecke algebra was the quantum KZ equations.
3. The Young tableaux theory was extended to affine Hecke algebras (of general Lie type) in recent work of A. Ram.
4. It is a major source of general information about the double affine Hecke algebra, also called Cherednik's algebra, and its impressive applications.
5. Chapter 1 is devoted to the Knizhnik-Zamolodchikov equations attached to root systems and their relations to affine Hecke algebras, Kac-Moody algebras, and Fourier analysis.
6. We classify the finite dimensional irreducible representations of the double affine Hecke algebra (DAHA) of type C ∨ C 1 in the case when q is not a root of unity.
7. The reason the double affine Hecke algebra exists at all is a little subtle, and has to do with @Theo Johnson-Freyd's comments to the question: the affine Hecke algebra has two realizations.
8. We construct boundary type operators satisfying fused reflection equation for arbitrary representations of the Baxterized affine Hecke algebra.
9. An infinite-dimensional representation of the double affine Hecke algebra of rank 1 and type \((C_1^{\vee },C_1)\) in which all generators are tridiagonal is presented.
10. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras.
11. We work with an algebra H^ that is more general than H, called the universal double affine Hecke algebra of type (C 1 v,C 1 ).
12. In the first part the investigator and his colleagues study the asymptotic affine Hecke algebra introduced by G. Lusztig.
13. In the fourth part the investigator and his colleagues study the Double Affine Hecke Algebra.
14. One of the central objects of study in Representation Theory is the affine Hecke algebra, because answers to many seemingly unrelated questions are encoded in the structure of this algebra.

메타데이터

위키데이터

• ID : Q4688934

Spacy 패턴 목록

• [{'LOWER': 'affine'}, {'LOWER': 'hecke'}, {'LEMMA': 'algebra'}]