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We prove that cyclotomic Yokonuma–Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Brundan and… Click to show full abstract
We prove that cyclotomic Yokonuma–Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Brundan and Kleshchev on cyclotomic Hecke algebras. The quiver we use is given by disjoint copies of cyclic quivers. We relate this work to an isomorphism of Lusztig.
Keywords:
hecke algebras;
algebras cyclotomic;
hecke;
cyclotomic quiver;
yokonuma hecke;
cyclotomic yokonuma
Journal Title: Advances in Mathematics
Year Published: 2017
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Journal Title: Advances in Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!