Iwahori–Hecke algebra
In mathematics, the 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 are quotients of the group rings of Artin braid groups. This connection found a spectacular application in Vaughan Jones' construction of new invariants of knots. Representations of Hecke algebras led to discovery of quantum groups by Michio Jimbo. Michael Freedman proposed Hecke algebras as a foundation for topological quantum computation.
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*-algebra1990 in scienceBirman–Wenzl algebraCanonical basisCellular algebraChinese monoidCoxeter groupEric M. OpdamGeorge LusztigHecke algebra (disambiguation)Hecke algebra of a Coxeter groupHecke algebra of a locally compact groupIwahori-Hecke algebraIwahori algebraKazhdan–Lusztig polynomialList of algebrasList of inventions and discoveries by womenList of q-analogsList of things named after Erich HeckeNagayoshi IwahoriRuth LawrenceSchur algebraT. A. SpringerVictor Ginzburg
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Iwahori–Hecke algebra
In mathematics, the 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 are quotients of the group rings of Artin braid groups. This connection found a spectacular application in Vaughan Jones' construction of new invariants of knots. Representations of Hecke algebras led to discovery of quantum groups by Michio Jimbo. Michael Freedman proposed Hecke algebras as a foundation for topological quantum computation.
has abstract
In mathematics, the Iwahori–He ...... pological quantum computation.
@en
Iwahori-Hecke-Algebren sind in ...... rten Coxeter-Gruppen zusammen.
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L′algèbre de Hecke est une déf ...... maticiens Erich Hecke et (en).
@fr
数学における岩堀ヘッケ環あるいは単にヘッケ環（へっけかん、英 ...... マイケル・フリードマンはヘッケ環をの基礎付けとして提示した。
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黑克代數，又名，是對稱羣環（group ring for the symmetric group）的形變，在代數數論及表示論都會出現。
@zh
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In mathematics, the Iwahori–He ...... pological quantum computation.
@en
Iwahori-Hecke-Algebren sind in ...... rten Coxeter-Gruppen zusammen.
@de
L′algèbre de Hecke est une déf ...... maticiens Erich Hecke et (en).
@fr
数学における岩堀ヘッケ環あるいは単にヘッケ環（へっけかん、英 ...... マイケル・フリードマンはヘッケ環をの基礎付けとして提示した。
@ja
黑克代數，又名，是對稱羣環（group ring for the symmetric group）的形變，在代數數論及表示論都會出現。
@zh
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Algèbre de Hecke
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Iwahori-Hecke-Algebra
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Iwahori–Hecke algebra
@en
ヘッケ環
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黑克代數
@zh