Representation Theory of the Nonstandard Hecke Algebra
نویسندگان
چکیده
منابع مشابه
Representation Theory of the Nonstandard Hecke Algebra
The nonstandard Hecke algebra Ȟr was defined in [11] to study the Kronecker problem. We study a quotient Ȟr,2 of Ȟr , called the nonstandard Temperley-Lieb algebra, which is simpler than Ȟr. It is defined to be the subalgebra of Hr,2⊗Hr,2 generated by Pi := C ′ i ⊗C ′ i +Ci ⊗Ci, i ∈ [r− 1], where Hr,2 is the Temperley-Lieb algebra and C i and Ci are Kazhdan-Lusztig basis elements. We give a com...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2014
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-014-9502-y