“Double affine braid group”的意思、由来-开放百科全书

词条

Double affine braid group

释义

References

In mathematics, a double affine braid group is a group containing the braid group of an affine Weyl group. Their group rings have quotients called double affine Hecke algebras in the same way that the group rings of affine braid groups have quotients that are affine Hecke algebras.

For affine A_n groups, the double affine braid group is the fundamental group of the space of n distinct points on a 2-dimensional torus.

References

{{Cite book|mr=2275709|last=Haiman|first= Mark|chapter=Cherednik algebras, Macdonald polynomials and combinatorics|title= International Congress of Mathematicians|volume=3|pages= 843–872|publisher= Eur. Math. Soc., Zürich|year= 2006|isbn=978-3-03719-022-7|url=http://mathunion.org/ICM/ICM2006.3/|postscript={{inconsistent citations}}}}
{{Cite book |last=Macdonald |first=I. G. |year=2003 |title=Affine Hecke Algebras and Orthogonal Polynomials |publisher=Cambridge University Press |isbn=0-521-82472-9 |doi=10.2277/0521824729| mr = 1976581 }}

2 : Braid groups|Representation theory

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